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1214131040 = 25510373673
BaseRepresentation
bin100100001011110…
…0010101101100000
310010121121020200022
41020113202231200
54441304143130
6320251013012
742041641433
oct11027425540
93117536608
101214131040
11573388691
1229a73a168
13164701445
14b736b81a
15718cc7e5
hex485e2b60

1214131040 has 48 divisors (see below), whose sum is σ = 2896272288. Its totient is φ = 480930816.

The previous prime is 1214131021. The next prime is 1214131043. The reversal of 1214131040 is 401314121.

It is a happy number.

It is a super-2 number, since 2×12141310402 = 2948228364582963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20357 + ... + 53316.

It is an arithmetic number, because the mean of its divisors is an integer number (60339006).

Almost surely, 21214131040 is an apocalyptic number.

1214131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214131040 is an abundant number, since it is smaller than the sum of its proper divisors (1682141248).

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

1214131040 is a wasteful number, since it uses less digits than its factorization.

1214131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73791 (or 73783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1214131040 is about 34844.3831915561. The cubic root of 1214131040 is about 1066.8135440105.

Adding to 1214131040 its reverse (401314121), we get a palindrome (1615445161).

The spelling of 1214131040 in words is "one billion, two hundred fourteen million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 73673 147346 294692 368365 589384 736730 1178768 1473460 2357536 2946920 5893840 7588319 11787680 15176638 30353276 37941595 60706552 75883190 121413104 151766380 242826208 303532760 607065520 1214131040