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20402143000146 = 2323124130799343
BaseRepresentation
bin1001010001110001111100…
…11111000111011001010010
32200020102111102110120012100
410220320332133013121102
510133232042102001041
6111220340510141230
74204002060101505
oct450707637073122
980212442416170
1020402143000146
116556555928136
1223560a44b1816
13b4cbb58b71ab
1450767cca113c
15255a8e98c6b6
hex128e3e7c7652

20402143000146 has 144 divisors (see below), whose sum is σ = 46810867783680. Its totient is φ = 6418043683200.

The previous prime is 20402143000123. The next prime is 20402143000163. The reversal of 20402143000146 is 64100034120402.

It is a happy number.

20402143000146 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 214 + 300 + 0 + 146 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2183677551 + ... + 2183686893.

It is an arithmetic number, because the mean of its divisors is an integer number (325075470720).

Almost surely, 220402143000146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402143000146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405433891840).

20402143000146 is an abundant number, since it is smaller than the sum of its proper divisors (26408724783534).

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

20402143000146 is a wasteful number, since it uses less digits than its factorization.

20402143000146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20402143000146 its reverse (64100034120402), we get a palindrome (84502177120548).

The spelling of 20402143000146 in words is "twenty trillion, four hundred two billion, one hundred forty-three million, one hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 961 1271 1922 2542 2883 3079 3813 5766 6158 7626 8649 9237 9343 11439 17298 18474 18686 22878 27711 28029 39401 55422 56058 78802 84087 95449 118203 126239 168174 190898 236406 252478 286347 289633 354609 378717 383063 572694 579266 709218 757434 766126 859041 868899 1136151 1149189 1718082 1737798 2272302 2298378 2606697 2958919 3447567 3913409 5213394 5917838 6895134 7826818 8876757 8978623 11740227 11874953 17753514 17957246 23480454 23749906 26630271 26935869 28767097 35220681 35624859 53260542 53871738 57534194 70441362 71249718 80807607 86301291 106874577 121315679 161615214 172602582 213749154 242631358 258903873 363947037 368123543 517807746 727894074 736247086 891780007 1091841111 1104370629 1179450977 1783560014 2183682222 2208741258 2358901954 2675340021 3313111887 3538352931 5350680042 6626223774 7076705862 8026020063 10615058793 16052040126 21230117586 27645180217 36562980287 55290360434 73125960574 82935540651 109688940861 165871081302 219377881722 248806621953 329066822583 497613243906 658133645166 1133452388897 2266904777794 3400357166691 6800714333382 10201071500073 20402143000146