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114000044053120 = 275683276794253
BaseRepresentation
bin11001111010111010110100…
…001000010101001010000000
3112221122022001002010121120021
4121322322310020111022000
5104420234042234144440
61042242521450023224
733004142236131511
oct3172726410251200
9487568032117507
10114000044053120
11333621689905a5
1210951b80117b14
134b7c209252514
1420218bb06aa08
15d2a6094c084a
hex67aeb4215280

114000044053120 has 128 divisors (see below), whose sum is σ = 273031910749440. Its totient is φ = 45516314578944.

The previous prime is 114000044053097. The next prime is 114000044053283. The reversal of 114000044053120 is 21350440000411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1140000440531202 (a number of 29 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, 1209463914 + ... + 1209558166.

It is an arithmetic number, because the mean of its divisors is an integer number (2133061802730).

Almost surely, 2114000044053120 is an apocalyptic number.

114000044053120 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 114000044053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136515955374720).

114000044053120 is an abundant number, since it is smaller than the sum of its proper divisors (159031866696320).

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

114000044053120 is an equidigital number, since it uses as much as digits as its factorization.

114000044053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97722 (or 97710 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114000044053120 its reverse (21350440000411), we get a palindrome (135350484053531).

The spelling of 114000044053120 in words is "one hundred fourteen trillion, forty-four million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 683 1366 2732 2767 3415 5464 5534 6830 10928 11068 13660 13835 21856 22136 27320 27670 43712 44272 54640 55340 87424 88544 94253 109280 110680 177088 188506 218560 221360 354176 377012 437120 442720 471265 754024 885440 942530 1508048 1770880 1885060 1889861 3016096 3770120 3779722 6032192 7540240 7559444 9449305 12064384 15080480 15118888 18898610 30160960 30237776 37797220 60321920 60475552 64374799 75594440 120951104 128749598 151188880 241902208 257499196 260798051 302377760 321873995 514998392 521596102 604755520 643747990 1029996784 1043192204 1209511040 1287495980 1303990255 2059993568 2086384408 2574991960 2607980510 4119987136 4172768816 5149983920 5215961020 8239974272 8345537632 10299967840 10431922040 16691075264 20599935680 20863844080 33382150528 41199871360 41727688160 83455376320 166910752640 178125068833 356250137666 712500275332 890625344165 1425000550664 1781250688330 2850001101328 3562501376660 5700002202656 7125002753320 11400004405312 14250005506640 22800008810624 28500011013280 57000022026560 114000044053120