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123431421012400 = 245219103157679383
BaseRepresentation
bin11100000100001010011110…
…000000001110100110110000
3121012000221001221210111022101
4130010022132000032212300
5112134300022234344100
61114303340105550144
734666424451430354
oct3404123600164660
9535027057714271
10123431421012400
1136368a76346a26
1211a15a051a5354
1353b46c1187927
14226a181195464
15e40b0401286a
hex70429e00e9b0

123431421012400 has 120 divisors (see below), whose sum is σ = 315182167089920. Its totient is φ = 46319895256320.

The previous prime is 123431421012349. The next prime is 123431421012433. The reversal of 123431421012400 is 4210124134321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78056892 + ... + 79622491.

Almost surely, 2123431421012400 is an apocalyptic number.

123431421012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123431421012400 is an abundant number, since it is smaller than the sum of its proper divisors (191750746077520).

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

123431421012400 is a wasteful number, since it uses less digits than its factorization.

123431421012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157679523 (or 157679512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 123431421012400 its reverse (4210124134321), we get a palindrome (127641545146721).

The spelling of 123431421012400 in words is "one hundred twenty-three trillion, four hundred thirty-one billion, four hundred twenty-one million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 103 152 190 200 206 304 380 400 412 475 515 760 824 950 1030 1520 1648 1900 1957 2060 2575 3800 3914 4120 5150 7600 7828 8240 9785 10300 15656 19570 20600 31312 39140 41200 48925 78280 97850 156560 195700 391400 782800 157679383 315358766 630717532 788396915 1261435064 1576793830 2522870128 2995908277 3153587660 3941984575 5991816554 6307175320 7883969150 11983633108 12614350640 14979541385 15767938300 16240976449 23967266216 29959082770 31535876600 32481952898 47934532432 59918165540 63071753200 64963905796 74897706925 81204882245 119836331080 129927811592 149795413850 162409764490 239672662160 259855623184 299590827700 308578552531 324819528980 406024411225 599181655400 617157105062 649639057960 812048822450 1198363310800 1234314210124 1299278115920 1542892762655 1624097644900 2468628420248 3085785525310 3248195289800 4937256840496 6171571050620 6496390579600 7714463813275 12343142101240 15428927626550 24686284202480 30857855253100 61715710506200 123431421012400