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140944384 = 21072532
BaseRepresentation
bin10000110011010…
…10010000000000
3100211012201100101
420121222100000
5242040210014
621552532144
73331002400
oct1031522000
9324181311
10140944384
1172617669
123b251054
132327b159
1414a0c800
15c591474
hex866a400

140944384 has 99 divisors (see below), whose sum is σ = 334051977. Its totient is φ = 59265024.

The previous prime is 140944373. The next prime is 140944387. The reversal of 140944384 is 483449041.

It is a happy number.

The square root of 140944384 is 11872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 39337984 = 10080^2 + 6272^2 .

It is a super-2 number, since 2×1409443842 = 39730638762278912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140944387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2659302 + ... + 2659354.

Almost surely, 2140944384 is an apocalyptic number.

140944384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

140944384 is the 11872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140944384

140944384 is an abundant number, since it is smaller than the sum of its proper divisors (193107593).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140944384 is an frugal number, since it uses more digits than its factorization.

140944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The cubic root of 140944384 is about 520.4143443124.

The spelling of 140944384 in words is "one hundred forty million, nine hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1024 1484 1568 1696 1792 2597 2809 2968 3136 3392 3584 5194 5618 5936 6272 6784 7168 10388 11236 11872 12544 13568 19663 20776 22472 23744 25088 27136 39326 41552 44944 47488 50176 54272 78652 83104 89888 94976 137641 157304 166208 179776 189952 275282 314608 332416 359552 379904 550564 629216 664832 719104 1101128 1258432 1329664 1438208 2202256 2516864 2659328 2876416 4404512 5033728 8809024 10067456 17618048 20134912 35236096 70472192 140944384