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23802831140 = 2251173279257
BaseRepresentation
bin10110001010110000…
…100110000100100100
32021102212020002212112
4112022300212010210
5342222011044030
614533533140152
71501566504104
oct261260460444
967385202775
1023802831140
11a105094380
12474362a658
1323244c388a
14121b393204
15944a45a95
hex58ac26124

23802831140 has 144 divisors (see below), whose sum is σ = 56205031680. Its totient is φ = 8396144640.

The previous prime is 23802831139. The next prime is 23802831211. The reversal of 23802831140 is 4113820832.

It is a junction number, because it is equal to n+sod(n) for n = 23802831097 and 23802831106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92617892 + ... + 92618148.

It is an arithmetic number, because the mean of its divisors is an integer number (390312720).

Almost surely, 223802831140 is an apocalyptic number.

23802831140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23802831140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28102515840).

23802831140 is an abundant number, since it is smaller than the sum of its proper divisors (32402200540).

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

23802831140 is a wasteful number, since it uses less digits than its factorization.

23802831140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 23802831140 in words is "twenty-three billion, eight hundred two million, eight hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 79 110 146 158 220 257 292 316 365 395 514 730 790 803 869 1028 1285 1460 1580 1606 1738 2570 2827 3212 3476 4015 4345 5140 5329 5654 5767 8030 8690 10658 11308 11534 14135 16060 17380 18761 20303 21316 23068 26645 28270 28835 37522 40606 53290 56540 57670 58619 63437 75044 81212 93805 101515 106580 115340 117238 126874 187610 203030 206371 223333 234476 253748 293095 317185 375220 406060 412742 420991 446666 586190 634370 825484 841982 893332 1031855 1116665 1172380 1268740 1369553 1482119 1683964 2063710 2104955 2233330 2739106 2964238 4127420 4209910 4466660 4630901 5478212 5928476 6847765 7410595 8419820 9261802 13695530 14821190 15065083 16303309 18523604 23154505 27391060 29642380 30130166 32606618 46309010 60260332 65213236 75325415 81516545 92618020 108194687 150650830 163033090 216389374 301301660 326066180 432778748 540973435 1081946870 1190141557 2163893740 2380283114 4760566228 5950707785 11901415570 23802831140