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140234443203312 = 24323777893337903
BaseRepresentation
bin11111111000101011100000…
…001011000010001011110000
3200101112021121110111020120100
4133320223200023002023300
5121340100114430001222
61214130451442312400
741352414142446333
oct3770534013021360
9611467543436510
10140234443203312
1140757103313927
121388a45b358700
1360330887a3543
14268b55197a61a
151132c466a94ac
hex7f8ae02c22f0

140234443203312 has 120 divisors (see below), whose sum is σ = 403075110611264. Its totient is φ = 45480722545152.

The previous prime is 140234443203289. The next prime is 140234443203313. The reversal of 140234443203312 is 213302344432041.

140234443203312 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 4 + 443 + 203 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140234443203313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414844953 + ... + 415182855.

Almost surely, 2140234443203312 is an apocalyptic number.

140234443203312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140234443203312 is an abundant number, since it is smaller than the sum of its proper divisors (262840667407952).

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

140234443203312 is a wasteful number, since it uses less digits than its factorization.

140234443203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415847 (or 415838 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140234443203312 its reverse (213302344432041), we get a palindrome (353536787635353).

The spelling of 140234443203312 in words is "one hundred forty trillion, two hundred thirty-four billion, four hundred forty-three million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 77893 155786 233679 311572 337903 467358 623144 675806 701037 934716 1013709 1246288 1351612 1402074 1869432 2027418 2703224 2804148 2882041 3041127 3738864 4054836 5406448 5608296 5764082 6082254 8109672 8646123 11216592 11528164 12164508 12502411 16219344 17292246 23056328 24329016 25004822 25938369 34584492 37507233 46112656 48658032 50009644 51876738 69168984 75014466 100019288 103753476 112521699 138337968 150028932 200038576 207506952 225043398 300057864 415013904 450086796 600115728 900173592 1800347184 26320278379 52640556758 78960835137 105281113516 157921670274 210562227032 236882505411 315843340548 421124454064 473765010822 631686681096 947530021644 973850300023 1263373362192 1895060043288 1947700600046 2921550900069 3790120086576 3895401200092 5843101800138 7790802400184 8764652700207 11686203600276 15581604800368 17529305400414 23372407200552 35058610800828 46744814401104 70117221601656 140234443203312