Search a number
-
+
21442377034476 = 22331397871814929
BaseRepresentation
bin1001110000000011100010…
…10001000010101011101100
32210220212112010022200221000
410320001301101002223230
510302302442010100401
6113334254135440300
74342106043356256
oct470016121025354
983825463280830
1021442377034476
11691772a91a572
1224a3814826090
13bc7013577928
14541b609d6cd6
15272b73519186
hex138071442aec

21442377034476 has 96 divisors (see below), whose sum is σ = 56062461728000. Its totient is φ = 7087017970944.

The previous prime is 21442377034409. The next prime is 21442377034489. The reversal of 21442377034476 is 67443077324412.

21442377034476 is a `hidden beast` number, since 2 + 1 + 4 + 42 + 37 + 70 + 34 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10906980 + ... + 12721908.

Almost surely, 221442377034476 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 21442377034476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28031230864000).

21442377034476 is an abundant number, since it is smaller than the sum of its proper divisors (34620084693524).

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

21442377034476 is a wasteful number, since it uses less digits than its factorization.

21442377034476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815868 (or 1815860 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 21442377034476 in words is "twenty-one trillion, four hundred forty-two billion, three hundred seventy-seven million, thirty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 787 834 1251 1574 1668 2361 2502 3148 3753 4722 5004 7083 7506 9444 14166 15012 21249 28332 42498 84996 109393 218786 328179 437572 656358 984537 1312716 1814929 1969074 2953611 3629858 3938148 5444787 5907222 7259716 10889574 11814444 16334361 21779148 32668722 49003083 65337444 98006166 196012332 252275131 504550262 756825393 1009100524 1428349123 1513650786 2270476179 2856698246 3027301572 4285047369 4540952358 5713396492 6811428537 8570094738 9081904716 12855142107 13622857074 17140189476 25710284214 27245714148 38565426321 51420568428 77130852642 154261705284 198540528097 397081056194 595621584291 794162112388 1191243168582 1786864752873 2382486337164 3573729505746 5360594258619 7147459011492 10721188517238 21442377034476