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2323042041132 = 223461223527081
BaseRepresentation
bin100001110011100000000…
…110000111110100101100
322020002011210102211220000
4201303200012013310230
5301030042230304012
64535105113024300
7326556101356041
oct41634006076454
98202153384800
102323042041132
1181621874168a
1231627a0b5090
1313b0a6081a37
1480615d051c8
1540663502ddc
hex21ce0187d2c

2323042041132 has 120 divisors (see below), whose sum is σ = 6200137249152. Its totient is φ = 758236204800.

The previous prime is 2323042041107. The next prime is 2323042041169. The reversal of 2323042041132 is 2311402403232.

2323042041132 is a `hidden beast` number, since 2 + 3 + 230 + 420 + 4 + 1 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2323042041096 and 2323042041105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4143832 + ... + 4670912.

Almost surely, 22323042041132 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 2323042041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100068624576).

2323042041132 is an abundant number, since it is smaller than the sum of its proper divisors (3877095208020).

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

2323042041132 is a wasteful number, since it uses less digits than its factorization.

2323042041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527381 (or 527370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2323042041132 its reverse (2311402403232), we get a palindrome (4634444444364).

The spelling of 2323042041132 in words is "two trillion, three hundred twenty-three billion, forty-two million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 223 244 324 366 446 549 669 732 892 1098 1338 1647 2007 2196 2676 3294 4014 4941 6021 6588 8028 9882 12042 13603 18063 19764 24084 27206 36126 40809 54412 72252 81618 122427 163236 244854 367281 489708 527081 734562 1054162 1101843 1469124 1581243 2108324 2203686 3162486 4407372 4743729 6324972 9487458 14231187 18974916 28462374 32151941 42693561 56924748 64303882 85387122 96455823 117539063 128607764 170774244 192911646 235078126 289367469 352617189 385823292 470156252 578734938 705234378 868102407 1057851567 1157469876 1410468756 1736204814 2115703134 2604307221 3173554701 3472409628 4231406268 5208614442 6347109402 7169882843 9520664103 10417228884 12694218804 14339765686 19041328206 21509648529 28679531372 38082656412 43019297058 64528945587 86038594116 129057891174 193586836761 258115782348 387173673522 580760510283 774347347044 1161521020566 2323042041132