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20240135556112 = 242341266149499
BaseRepresentation
bin1001001101000100001100…
…00101110000110000010000
32122122221022211212200200101
410212202012011300300100
510123103244200243422
6111014105004302144
74156205266411003
oct446420605606020
978587284780611
1020240135556112
1164a387a95361a
12232a810541954
13b3a837797b84
144dd8b091553a
1525175bb6bc27
hex126886170c10

20240135556112 has 120 divisors (see below), whose sum is σ = 42006974328000. Its totient is φ = 9429487795200.

The previous prime is 20240135556107. The next prime is 20240135556283. The reversal of 20240135556112 is 21165553104202.

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, 408875139 + ... + 408924637.

It is an arithmetic number, because the mean of its divisors is an integer number (350058119400).

Almost surely, 220240135556112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240135556112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003487164000).

20240135556112 is an abundant number, since it is smaller than the sum of its proper divisors (21766838771888).

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

20240135556112 is a wasteful number, since it uses less digits than its factorization.

20240135556112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50273 (or 50226 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 20240135556112 in words is "twenty trillion, two hundred forty billion, one hundred thirty-five million, five hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 661 943 1322 1681 1886 2644 3362 3772 5288 6724 7544 10576 13448 15088 15203 26896 27101 30406 38663 49499 54202 60812 77326 98998 108404 121624 154652 197996 216808 243248 309304 395992 433616 618608 623323 791984 1111141 1138477 1246646 2029459 2222282 2276954 2493292 4058918 4444564 4553908 4986584 8117836 8889128 9107816 9973168 16235672 17778256 18215632 25556243 32471344 32718839 46677557 51112486 65437678 83207819 93355114 102224972 130875356 166415638 186710228 204449944 261750712 332831276 373420456 408899888 523501424 665662552 746840912 752533297 1331325104 1341472399 1505066594 1913779837 2682944798 3010133188 3827559674 5365889596 6020266376 7655119348 10731779192 12040532752 15310238696 21463558384 30620477392 30853865177 55000368359 61707730354 110000736718 123415460708 220001473436 246830921416 440002946872 493661842832 880005893744 1265008472257 2530016944514 5060033889028 10120067778056 20240135556112