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60401134080 = 293357314027
BaseRepresentation
bin111000010000001100…
…000010101000000000
312202220110101112021000
4320100030002220000
51442200142242310
643425313532000
74235540111550
oct702014025000
9182813345230
1060401134080
1123685958031
12b858274000
1359078a7a31
142ccdc71160
151887a8c4c0
hexe10302a00

60401134080 has 640 divisors, whose sum is σ = 253172367360. Its totient is φ = 13357301760.

The previous prime is 60401134039. The next prime is 60401134093. The reversal of 60401134080 is 8043110406.

60401134080 is a `hidden beast` number, since 604 + 0 + 1 + 13 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14997027 + ... + 15001053.

It is an arithmetic number, because the mean of its divisors is an integer number (395581824).

Almost surely, 260401134080 is an apocalyptic number.

60401134080 is a gapful number since it is divisible by the number (60) 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 60401134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126586183680).

60401134080 is an abundant number, since it is smaller than the sum of its proper divisors (192771233280).

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

60401134080 is a wasteful number, since it uses less digits than its factorization.

60401134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 60401134080 its reverse (8043110406), we get a palindrome (68444244486).

It can be divided in two parts, 60401 and 134080, that added together give a 4-th power (194481 = 214).

The spelling of 60401134080 in words is "sixty billion, four hundred one million, one hundred thirty-four thousand, eighty".