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21142860984 = 2332759711019
BaseRepresentation
bin10011101100001101…
…100111010010111000
32000120111000121210100
4103230031213102320
5321300033022414
613413552515400
71345640232060
oct235415472270
960514017710
1021142860984
118a6a659433
12412084bb60
131cbc3b443b
141047dc03a0
1583b26b609
hex4ec3674b8

21142860984 has 96 divisors (see below), whose sum is σ = 66551472000. Its totient is φ = 5938422336.

The previous prime is 21142860967. The next prime is 21142860989. The reversal of 21142860984 is 48906824112.

21142860984 is a `hidden beast` number, since 2 + 1 + 14 + 28 + 609 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142860989) 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, 325774 + ... + 385245.

It is an arithmetic number, because the mean of its divisors is an integer number (693244500).

Almost surely, 221142860984 is an apocalyptic number.

21142860984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21142860984 is an abundant number, since it is smaller than the sum of its proper divisors (45408611016).

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

21142860984 is a wasteful number, since it uses less digits than its factorization.

21142860984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711097 (or 711090 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 21142860984 in words is "twenty-one billion, one hundred forty-two million, eight hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 14868 29736 711019 1422038 2133057 2844076 4266114 4977133 5688152 6399171 8532228 9954266 12798342 14931399 17064456 19908532 25596684 29862798 39817064 41950121 44794197 51193368 59725596 83900242 89588394 119451192 125850363 167800484 179176788 251700726 293650847 335600968 358353576 377551089 503401452 587301694 755102178 880952541 1006802904 1174603388 1510204356 1761905082 2349206776 2642857623 3020408712 3523810164 5285715246 7047620328 10571430492 21142860984