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311430230120040 = 233519136592206193
BaseRepresentation
bin100011011001111101000000…
…0001111010001011001101000
31111211200102212012110211212220
41012303322000033101121220
5311304433102402320130
63022205023404234040
7122412043265436243
oct10663720017213150
91454612765424786
10311430230120040
119025a900a2a409
122ab19321b3b920
13104a098b1010a5
1456c9436d9c25a
152601035844410
hex11b3e803d1668

311430230120040 has 64 divisors (see below), whose sum is σ = 983463884596800. Its totient is φ = 78677110766592.

The previous prime is 311430230120033. The next prime is 311430230120123. The reversal of 311430230120040 is 40021032034113.

It is a happy number.

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, 68296100817 + ... + 68296105376.

It is an arithmetic number, because the mean of its divisors is an integer number (15366623196825).

Almost surely, 2311430230120040 is an apocalyptic number.

311430230120040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311430230120040 is an abundant number, since it is smaller than the sum of its proper divisors (672033654476760).

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

311430230120040 is a wasteful number, since it uses less digits than its factorization.

311430230120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136592206226 (or 136592206222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311430230120040 its reverse (40021032034113), we get a palindrome (351451262154153).

The spelling of 311430230120040 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred thirty million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 136592206193 273184412386 409776618579 546368824772 682961030965 819553237158 1092737649544 1365922061930 1639106474316 2048883092895 2595251917667 2731844123860 3278212948632 4097766185790 5190503835334 5463688247720 7785755753001 8195532371580 10381007670668 12976259588335 15571511506002 16391064743160 20762015341336 25952519176670 31143023012004 38928778765005 51905038353340 62286046024008 77857557530010 103810076706680 155715115060020 311430230120040