Search a number
-
+
115351494120 = 2334544218053
BaseRepresentation
bin110101101101101111…
…1000001110111101000
3102000202001012001020000
41223123133001313220
53342214440302440
6124554114503000
711222342344062
oct1533337016750
9360661161200
10115351494120
1144a13a02925
121a432b94a60
13ab54115a85
145823c20732
153001d30730
hex1adb7c1de8

115351494120 has 160 divisors (see below), whose sum is σ = 387845041320. Its totient is φ = 30749621760.

The previous prime is 115351494107. The next prime is 115351494143. The reversal of 115351494120 is 21494153511.

115351494120 is a `hidden beast` number, since 1 + 1 + 53 + 514 + 94 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113166305604 + 2185188516 = 336402^2 + 46746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14320014 + ... + 14328066.

Almost surely, 2115351494120 is an apocalyptic number.

115351494120 is a gapful number since it is divisible by the number (10) 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 115351494120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193922520660).

115351494120 is an abundant number, since it is smaller than the sum of its proper divisors (272493547200).

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

115351494120 is a wasteful number, since it uses less digits than its factorization.

115351494120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115351494120 in words is "one hundred fifteen billion, three hundred fifty-one million, four hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4421 8053 8842 13263 16106 17684 22105 24159 26526 32212 35368 39789 40265 44210 48318 53052 64424 66315 72477 79578 80530 88420 96636 106104 119367 120795 132630 144954 159156 161060 176840 193272 198945 217431 238734 241590 265260 289908 318312 322120 358101 362385 397890 434862 477468 483180 530520 579816 596835 652293 716202 724770 795780 869724 954936 966360 1087155 1193670 1304586 1432404 1449540 1591560 1739448 1790505 2174310 2387340 2609172 2864808 2899080 3261465 3581010 4348620 4774680 5218344 6522930 7162020 8697240 13045860 14324040 26091720 35602313 71204626 106806939 142409252 178011565 213613878 284818504 320420817 356023130 427227756 534034695 640841634 712046260 854455512 961262451 1068069390 1281683268 1424092520 1602104085 1922524902 2136138780 2563366536 2883787353 3204208170 3845049804 4272277560 4806312255 5767574706 6408416340 7690099608 9612624510 11535149412 12816832680 14418936765 19225249020 23070298824 28837873530 38450498040 57675747060 115351494120