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231323144004 = 223419118731657
BaseRepresentation
bin1101011101101111101…
…1110000111101000100
3211010002022022021020000
43113123323300331010
512242222211102004
6254133545441300
722466255165361
oct3273373607504
9733068267200
10231323144004
118a11597a977
12389b97a0230
1318a76863704
14b2a6153468
15603d310c39
hex35dbef0f44

231323144004 has 120 divisors (see below), whose sum is σ = 637108385760. Its totient is φ = 72985567104.

The previous prime is 231323143963. The next prime is 231323144027. The reversal of 231323144004 is 400441323132.

231323144004 is a `hidden beast` number, since 23 + 1 + 3 + 231 + 4 + 400 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7291344 + ... + 7323000.

It is an arithmetic number, because the mean of its divisors is an integer number (5309236548).

Almost surely, 2231323144004 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 231323144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318554192880).

231323144004 is an abundant number, since it is smaller than the sum of its proper divisors (405785241756).

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

231323144004 is a wasteful number, since it uses less digits than its factorization.

231323144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32879 (or 32868 counting only the distinct ones).

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

Adding to 231323144004 its reverse (400441323132), we get a palindrome (631764467136).

The spelling of 231323144004 in words is "two hundred thirty-one billion, three hundred twenty-three million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1187 1539 2052 2374 3078 3561 4748 6156 7122 10683 14244 21366 22553 31657 32049 42732 45106 63314 64098 67659 90212 94971 96147 126628 128196 135318 189942 192294 202977 270636 284913 379884 384588 405954 569826 601483 608931 811908 854739 1139652 1202966 1217862 1709478 1804449 1826793 2405932 2435724 2564217 3418956 3608898 3653586 5128434 5413347 7217796 7307172 10256868 10826694 16240041 21653388 32480082 37576859 48720123 64960164 75153718 97440246 112730577 150307436 194880492 225461154 338191731 450922308 676383462 713960321 1014575193 1352766924 1427920642 2029150386 2141880963 2855841284 3043725579 4058300772 4283761926 6087451158 6425642889 8567523852 12174902316 12851285778 19276928667 25702571556 38553857334 57830786001 77107714668 115661572002 231323144004