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20142404032 = 2617196714543
BaseRepresentation
bin10010110000100101…
…001011000111000000
31220222202111010212011
4102300211023013000
5312222423412112
613130413342304
71312101416002
oct226045130700
956882433764
1020142404032
1185a6953303
123aa1797994
131b9004728a
14d91194372
157cd4e9aa7
hex4b094b1c0

20142404032 has 112 divisors (see below), whose sum is σ = 45216714240. Its totient is φ = 8845258752.

The previous prime is 20142404021. The next prime is 20142404033. The reversal of 20142404032 is 23040424102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20142403994 and 20142404012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142404033) 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 15 ways as a sum of consecutive naturals, for example, 1377753 + ... + 1392295.

Almost surely, 220142404032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608357120).

20142404032 is an abundant number, since it is smaller than the sum of its proper divisors (25074310208).

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

20142404032 is a wasteful number, since it uses less digits than its factorization.

20142404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20142404032 its reverse (23040424102), we get a palindrome (43182828134).

The spelling of 20142404032 in words is "twenty billion, one hundred forty-two million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 67 68 76 134 136 152 268 272 304 323 536 544 608 646 1072 1088 1139 1216 1273 1292 2144 2278 2546 2584 4288 4556 5092 5168 9112 10184 10336 14543 18224 20368 20672 21641 29086 36448 40736 43282 58172 72896 81472 86564 116344 173128 232688 247231 276317 346256 465376 494462 552634 692512 930752 974381 988924 1105268 1385024 1948762 1977848 2210536 3897524 3955696 4421072 4697389 7795048 7911392 8842144 9394778 15590096 15822784 16564477 17684288 18513239 18789556 31180192 33128954 37026478 37579112 62360384 66257908 74052956 75158224 132515816 148105912 150316448 265031632 296211824 300632896 314725063 530063264 592423648 629450126 1060126528 1184847296 1258900252 2517800504 5035601008 10071202016 20142404032