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131211440300040 = 23351935665433519
BaseRepresentation
bin11101110101011000001011…
…010010100010000000001000
3122012120200122212122212002120
4131311120023102202000020
5114144232012204100130
61143021411543531240
736431466544310112
oct3565301322420010
9565520585585076
10131211440300040
1138898506413041
12128717a5a59b20
13582a2550790a9
14245894bc4c3b2
15102819d7e7910
hex77560b4a2008

131211440300040 has 64 divisors (see below), whose sum is σ = 395673877036800. Its totient is φ = 34808423534592.

The previous prime is 131211440300021. The next prime is 131211440300053. The reversal of 131211440300040 is 40003044112131.

It is a super-2 number, since 2×1312114403000402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832693600 + ... + 2832739919.

It is an arithmetic number, because the mean of its divisors is an integer number (6182404328700).

Almost surely, 2131211440300040 is an apocalyptic number.

131211440300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211440300040 is an abundant number, since it is smaller than the sum of its proper divisors (264462436736760).

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

131211440300040 is a wasteful number, since it uses less digits than its factorization.

131211440300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665433726 (or 5665433722 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131211440300040 its reverse (40003044112131), we get a palindrome (171214484412171).

The spelling of 131211440300040 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred forty million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 5665433519 11330867038 16996300557 22661734076 28327167595 33992601114 45323468152 56654335190 67985202228 84981502785 113308670380 135970404456 169963005570 226617340760 339926011140 679852022280 1093428669167 2186857338334 3280286007501 4373714676668 5467143345835 6560572015002 8747429353336 10934286691670 13121144030004 16401430037505 21868573383340 26242288060008 32802860075010 43737146766680 65605720150020 131211440300040