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255031140349440 = 29335713414753397
BaseRepresentation
bin111001111111001100010000…
…100001101111011000000000
31020102222201221122222002212000
4321333030100201233120000
5231411412233412140230
62302223404413104000
7104501251255304640
oct7177142041573000
91212881848862760
10255031140349440
1174296110096384
122472a8b0a88000
13ac3c444478790
1446d9804662520
151e73e2a200b60
hexe7f31086f600

255031140349440 has 5120 divisors, whose sum is σ = 1191440222945280. Its totient is φ = 50283015045120.

The previous prime is 255031140349429. The next prime is 255031140349457. The reversal of 255031140349440 is 44943041130552.

It is a happy number.

255031140349440 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 3 + 114 + 0 + 3 + 494 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 642395819322 + ... + 642395819718.

It is an arithmetic number, because the mean of its divisors is an integer number (232703168544).

Almost surely, 2255031140349440 is an apocalyptic number.

255031140349440 is a gapful number since it is divisible by the number (20) 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 255031140349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595720111472640).

255031140349440 is an abundant number, since it is smaller than the sum of its proper divisors (936409082595840).

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

255031140349440 is a wasteful number, since it uses less digits than its factorization.

255031140349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 255031140349440 its reverse (44943041130552), we get a palindrome (299974181479992).

The spelling of 255031140349440 in words is "two hundred fifty-five trillion, thirty-one billion, one hundred forty million, three hundred forty-nine thousand, four hundred forty".