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120455151456 = 2534356951283
BaseRepresentation
bin111000000101110101…
…1111011111101100000
3102111220201121200220210
41300023223323331200
53433143004321311
6131200351534120
711462663615403
oct1601353737540
9374821550823
10120455151456
11470a287a152
121b41822a340
13b488598a63
145b89985d3a
1531eee103a6
hex1c0bafbf60

120455151456 has 96 divisors (see below), whose sum is σ = 324123085440. Its totient is φ = 39148268544.

The previous prime is 120455151433. The next prime is 120455151491. The reversal of 120455151456 is 654151554021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 2323191 + ... + 2374473.

It is an arithmetic number, because the mean of its divisors is an integer number (3376282140).

Almost surely, 2120455151456 is an apocalyptic number.

120455151456 is a gapful number since it is divisible by the number (16) 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 120455151456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162061542720).

120455151456 is an abundant number, since it is smaller than the sum of its proper divisors (203667933984).

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

120455151456 is a wasteful number, since it uses less digits than its factorization.

120455151456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51908 (or 51900 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 120455151456 in words is "one hundred twenty billion, four hundred fifty-five million, one hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 569 688 1032 1138 1376 1707 2064 2276 3414 4128 4552 6828 9104 13656 18208 24467 27312 48934 51283 54624 73401 97868 102566 146802 153849 195736 205132 293604 307698 391472 410264 587208 615396 782944 820528 1174416 1230792 1641056 2205169 2348832 2461584 4410338 4923168 6615507 8820676 13231014 17641352 26462028 29180027 35282704 52924056 58360054 70565408 87540081 105848112 116720108 175080162 211696224 233440216 350160324 466880432 700320648 933760864 1254741161 1400641296 2509482322 2801282592 3764223483 5018964644 7528446966 10037929288 15056893932 20075858576 30113787864 40151717152 60227575728 120455151456