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1430473968 = 2432711129011
BaseRepresentation
bin101010101000011…
…0100110011110000
310200200200121101100
41111100310303300
510412200131333
6353540004400
750306554020
oct12520646360
93620617340
101430473968
116745132a0
1233b090700
1319a48b401
14d7da5a80
15858b4213
hex55434cf0

1430473968 has 120 divisors (see below), whose sum is σ = 4991216256. Its totient is φ = 371548800.

The previous prime is 1430473963. The next prime is 1430473997. The reversal of 1430473968 is 8693740341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430473963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53418 + ... + 75593.

Almost surely, 21430473968 is an apocalyptic number.

1430473968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1430473968 is an abundant number, since it is smaller than the sum of its proper divisors (3560742288).

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

1430473968 is a wasteful number, since it uses less digits than its factorization.

1430473968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129043 (or 129034 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1430473968 is about 37821.6071578139. The cubic root of 1430473968 is about 1126.7476292242.

The spelling of 1430473968 in words is "one billion, four hundred thirty million, four hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 129011 258022 387033 516044 774066 903077 1032088 1161099 1419121 1548132 1806154 2064176 2322198 2709231 2838242 3096264 3612308 4257363 4644396 5418462 5676484 6192528 7224616 8127693 8514726 9288792 9933847 10836924 11352968 12772089 14449232 16255386 17029452 18577584 19867694 21673848 22705936 25544178 29801541 32510772 34058904 39735388 43347696 51088356 59603082 65021544 68117808 79470776 89404623 102176712 119206164 130043088 158941552 178809246 204353424 238412328 357618492 476824656 715236984 1430473968