Search a number
-
+
2273414086944 = 253274111383277
BaseRepresentation
bin100001000101010010000…
…010100000000100100000
322001100002010200120011200
4201011102002200010200
5244221423001240234
64500220401441200
7323151214620000
oct41052202400440
98040063616150
102273414086944
117a7170a91110
12308729940200
131364c7416880
147c068b80000
153e20b64dd99
hex211520a0120

2273414086944 has 1440 divisors, whose sum is σ = 8999748523584. Its totient is φ = 536563077120.

The previous prime is 2273414086939. The next prime is 2273414087023. The reversal of 2273414086944 is 4496804143722.

2273414086944 is a `hidden beast` number, since 227 + 3 + 4 + 1 + 408 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×22734140869442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8207270934 + ... + 8207271210.

Almost surely, 22273414086944 is an apocalyptic number.

2273414086944 is a gapful number since it is divisible by the number (24) 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 2273414086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499874261792).

2273414086944 is an abundant number, since it is smaller than the sum of its proper divisors (6726334436640).

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

2273414086944 is a wasteful number, since it uses less digits than its factorization.

2273414086944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2273414086944 in words is "two trillion, two hundred seventy-three billion, four hundred fourteen million, eighty-six thousand, nine hundred forty-four".