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1076022850140 = 22325723215110691
BaseRepresentation
bin11111010100001111111…
…01011011001001011100
310210212101212211100112100
433222013331123021130
5120112143322201030
62142152412005100
7140511564213360
oct17520775331134
93725355740470
101076022850140
1138537a935467
12154659a60790
137a61244c734
143a118cd92a0
151ceca9c5360
hexfa87f5b25c

1076022850140 has 432 divisors, whose sum is σ = 3925638452736. Its totient is φ = 233674848000.

The previous prime is 1076022850093. The next prime is 1076022850187. The reversal of 1076022850140 is 410582206701.

1076022850140 is a `hidden beast` number, since 1 + 0 + 7 + 602 + 2 + 8 + 5 + 0 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1076022850093) and next prime (1076022850187).

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 = 1076022850095 and 1076022850104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100642195 + ... + 100652885.

It is an arithmetic number, because the mean of its divisors is an integer number (9087126048).

Almost surely, 21076022850140 is an apocalyptic number.

1076022850140 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 1076022850140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962819226368).

1076022850140 is an abundant number, since it is smaller than the sum of its proper divisors (2849615602596).

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

1076022850140 is a wasteful number, since it uses less digits than its factorization.

1076022850140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1076022850140 in words is "one trillion, seventy-six billion, twenty-two million, eight hundred fifty thousand, one hundred forty".