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23441313503104 = 277419370116871
BaseRepresentation
bin1010101010001110110110…
…01010100001011110000000
310001222222010102221120010021
411111013123022201132000
511033030302224044404
6121504442445343224
74636402413120640
oct525073312413600
9101888112846107
1023441313503104
1175184503a4502
122767100567b14
1310106776896a3
145b07cc11c520
152a9b67e66454
hex1551db2a1780

23441313503104 has 128 divisors (see below), whose sum is σ = 53515851379200. Its totient is φ = 10018998528000.

The previous prime is 23441313503093. The next prime is 23441313503107. The reversal of 23441313503104 is 40130531314432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23441313503104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441313503107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389435789 + ... + 1389452659.

It is an arithmetic number, because the mean of its divisors is an integer number (418092588900).

Almost surely, 223441313503104 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 23441313503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26757925689600).

23441313503104 is an abundant number, since it is smaller than the sum of its proper divisors (30074537876096).

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

23441313503104 is a wasteful number, since it uses less digits than its factorization.

23441313503104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21012 (or 21000 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 23441313503104 its reverse (40130531314432), we get a palindrome (63571844817536).

The spelling of 23441313503104 in words is "twenty-three trillion, four hundred forty-one billion, three hundred thirteen million, five hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 419 448 838 896 1676 2933 3352 3701 5866 6704 7402 11732 13408 14804 16871 23464 25907 26816 29608 33742 46928 51814 53632 59216 67484 93856 103628 118097 118432 134968 187712 207256 236194 236864 269936 375424 414512 472388 473728 539872 829024 944776 1079744 1550719 1658048 1889552 2159488 3101438 3316096 3779104 6202876 7068949 7558208 10855033 12405752 14137898 15116416 21710066 24811504 28275796 43420132 49482643 49623008 56551592 62439571 86840264 98965286 99246016 113103184 124879142 173680528 197930572 198492032 226206368 249758284 347361056 395861144 437076997 452412736 499516568 694722112 791722288 874153994 904825472 999033136 1389444224 1583444576 1748307988 1998066272 3166889152 3496615976 3996132544 6333778304 6993231952 7992265088 13986463904 26162180249 27972927808 52324360498 55945855616 104648720996 183135261743 209297441992 366270523486 418594883984 732541046972 837189767968 1465082093944 1674379535936 2930164187888 3348759071872 5860328375776 11720656751552 23441313503104