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20141332624 = 24717471731301
BaseRepresentation
bin10010110000100001…
…000101100010010000
31220222200110201011101
4102300201011202100
5312222140120444
613130334354144
71312056334240
oct226041054220
956880421141
1020141332624
1185a6291346
123aa135b954
131b8ca606ca
14d90d95b20
157cd3873d4
hex4b0845890

20141332624 has 160 divisors (see below), whose sum is σ = 48542893056. Its totient is φ = 7899340800.

The previous prime is 20141332609. The next prime is 20141332663. The reversal of 20141332624 is 42623314102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20141332592 and 20141332601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15480774 + ... + 15482074.

Almost surely, 220141332624 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 20141332624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271446528).

20141332624 is an abundant number, since it is smaller than the sum of its proper divisors (28401560432).

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

20141332624 is a wasteful number, since it uses less digits than its factorization.

20141332624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 20141332624 its reverse (42623314102), we get a palindrome (62764646726).

The spelling of 20141332624 in words is "twenty billion, one hundred forty-one million, three hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 47 56 68 94 112 119 136 173 188 238 272 329 346 376 476 658 692 752 799 952 1211 1301 1316 1384 1598 1904 2422 2602 2632 2768 2941 3196 4844 5204 5264 5593 5882 6392 8131 9107 9688 10408 11186 11764 12784 16262 18214 19376 20587 20816 22117 22372 23528 32524 36428 41174 44234 44744 47056 56917 61147 65048 72856 82348 88468 89488 113834 122294 130096 138227 145712 154819 164696 176936 225073 227668 244588 276454 309638 329392 353872 428029 450146 455336 489176 552908 619276 856058 900292 910672 967589 978352 1039499 1105816 1238552 1575511 1712116 1800584 1935178 2078998 2211632 2477104 3151022 3424232 3601168 3826241 3870356 4157996 6302044 6848464 7276493 7652482 7740712 8315992 10578431 12604088 14552986 15304964 15481424 16631984 21156862 25208176 26783687 29105972 30609928 42313724 53567374 58211944 61219856 74049017 84627448 107134748 116423888 148098034 169254896 179833327 214269496 296196068 359666654 428538992 592392136 719333308 1184784272 1258833289 1438666616 2517666578 2877333232 5035333156 10070666312 20141332624