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155031420353040 = 243357113725192631
BaseRepresentation
bin100011010000000000010000…
…101111010011101000010000
3202022220212012020112020022000
4203100000100233103220100
5130310013322102244130
61305420241251514000
744440436056126410
oct4320002057235020
9668825166466260
10155031420353040
1145441502146040
121547a164bb8900
13686752834ba4a
142a3d7bcada640
1512dcaca2e0260
hex8d0010bd3a10

155031420353040 has 640 divisors, whose sum is σ = 683756248227840. Its totient is φ = 31343662540800.

The previous prime is 155031420352981. The next prime is 155031420353083. The reversal of 155031420353040 is 40353024130551.

155031420353040 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 314 + 2 + 0 + 35 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155031420352986 and 155031420353004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6442476 + ... + 18750155.

It is an arithmetic number, because the mean of its divisors is an integer number (1068369137856).

Almost surely, 2155031420353040 is an apocalyptic number.

155031420353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155031420353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341878124113920).

155031420353040 is an abundant number, since it is smaller than the sum of its proper divisors (528724827874800).

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

155031420353040 is a wasteful number, since it uses less digits than its factorization.

155031420353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25192708 (or 25192696 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 155031420353040 its reverse (40353024130551), we get a palindrome (195384444483591).

The spelling of 155031420353040 in words is "one hundred fifty-five trillion, thirty-one billion, four hundred twenty million, three hundred fifty-three thousand, forty".