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1146055135434 = 2311831481141263
BaseRepresentation
bin10000101011010110001…
…101011001000011001010
311001120011112221001111120
4100223112031121003022
5122234110103313214
62234253534540110
7145541212630266
oct20532615310312
94046145831446
101146055135434
114020482789a0
12166143667636
13840c348c2c1
143d67dd170a6
151ec28d61ea9
hex10ad63590ca

1146055135434 has 64 divisors (see below), whose sum is σ = 2532336887808. Its totient is φ = 342871126400.

The previous prime is 1146055135411. The next prime is 1146055135451. The reversal of 1146055135434 is 4345315506411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042287 + ... + 8183549.

It is an arithmetic number, because the mean of its divisors is an integer number (39567763872).

Almost surely, 21146055135434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146055135434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266168443904).

1146055135434 is an abundant number, since it is smaller than the sum of its proper divisors (1386281752374).

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

1146055135434 is a wasteful number, since it uses less digits than its factorization.

1146055135434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142843.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1146055135434 in words is "one trillion, one hundred forty-six billion, fifty-five million, one hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1481 1826 2739 2962 4443 5478 8886 16291 32582 48873 97746 122923 141263 245846 282526 368769 423789 737538 847578 1352153 1553893 2704306 3107786 4056459 4661679 8112918 9323358 11724829 23449658 35174487 70348974 128973119 209210503 257946238 386919357 418421006 627631509 773838714 1255263018 2301315533 4602631066 6903946599 13807893198 17364471749 34728943498 52093415247 104186830494 191009189239 382018378478 573027567717 1146055135434