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1453253502144 = 26361269461273
BaseRepresentation
bin10101001001011100101…
…010001010010011000000
312010221002201212000000010
4111021130222022103000
5142302230344032034
63031340534024520
7206664655644543
oct25113452122300
95127081760003
101453253502144
11510359796694
121b57977a8140
13a706c7288a2
14504a309085a
1527c084703e9
hex1525ca8a4c0

1453253502144 has 112 divisors (see below), whose sum is σ = 3922637194080. Its totient is φ = 474704240640.

The previous prime is 1453253502121. The next prime is 1453253502163. The reversal of 1453253502144 is 4412053523541.

It is a super-2 number, since 2×14532535021442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919892 + ... + 3381164.

Almost surely, 21453253502144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453253502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961318597040).

1453253502144 is an abundant number, since it is smaller than the sum of its proper divisors (2469383691936).

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

1453253502144 is a wasteful number, since it uses less digits than its factorization.

1453253502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461618 (or 461608 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 1453253502144 in words is "one trillion, four hundred fifty-three billion, two hundred fifty-three million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 269 366 488 538 732 807 976 1076 1464 1614 1952 2152 2928 3228 3904 4304 5856 6456 8608 11712 12912 16409 17216 25824 32818 49227 51648 65636 98454 131272 196908 262544 393816 461273 525088 787632 922546 1050176 1383819 1575264 1845092 2767638 3150528 3690184 5535276 7380368 11070552 14760736 22141104 28137653 29521472 44282208 56275306 84412959 88564416 112550612 124082437 168825918 225101224 248164874 337651836 372247311 450202448 496329748 675303672 744494622 900404896 992659496 1350607344 1488989244 1800809792 1985318992 2701214688 2977978488 3970637984 5402429376 5955956976 7569028657 7941275968 11911913952 15138057314 22707085971 23823827904 30276114628 45414171942 60552229256 90828343884 121104458512 181656687768 242208917024 363313375536 484417834048 726626751072 1453253502144