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1257325114430 = 257114057402487
BaseRepresentation
bin10010010010111110011…
…010101011010000111110
311110012101011000122112202
4102102332122223100332
5131100000212130210
62401335052431502
7156560455064360
oct22227632532076
94405334018482
101257325114430
11445257281020
12183817778592
1391746b12768
1444bd7a44d30
1522a8c6b99a5
hex124be6ab43e

1257325114430 has 64 divisors (see below), whose sum is σ = 2822336013312. Its totient is φ = 391795971840.

The previous prime is 1257325114411. The next prime is 1257325114481. The reversal of 1257325114430 is 344115237521.

It is a Curzon number.

It is a congruent number.

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, 2922647 + ... + 3325133.

It is an arithmetic number, because the mean of its divisors is an integer number (44099000208).

Almost surely, 21257325114430 is an apocalyptic number.

1257325114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1257325114430 is an abundant number, since it is smaller than the sum of its proper divisors (1565010898882).

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

1257325114430 is a wasteful number, since it uses less digits than its factorization.

1257325114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406569.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 1257325114430 in words is "one trillion, two hundred fifty-seven billion, three hundred twenty-five million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 4057 8114 20285 28399 40570 44627 56798 89254 141995 223135 283990 312389 402487 446270 624778 804974 1561945 2012435 2817409 3123890 4024870 4427357 5634818 8854714 14087045 22136785 28174090 30991499 44273570 61982998 154957495 309914990 1632889759 3265779518 8164448795 11430228313 16328897590 17961787349 22860456626 35923574698 57151141565 89808936745 114302283130 125732511443 179617873490 251465022886 628662557215 1257325114430