Search a number
-
+
2424106445472 = 253231674052497
BaseRepresentation
bin100011010001101000000…
…000001110101010100000
322120202001010221112101200
4203101220000032222200
5304204032222223342
65053341422001200
7340064421545145
oct43215000165240
98522033845350
102424106445472
1185506a98a498
12331984416200
1314779125b21a
148548247a3cc
15430cade194c
hex2346800eaa0

2424106445472 has 144 divisors (see below), whose sum is σ = 7222134995712. Its totient is φ = 770298439680.

The previous prime is 2424106445471. The next prime is 2424106445507. The reversal of 2424106445472 is 2745446014242.

It is a happy number.

2424106445472 is a `hidden beast` number, since 2 + 4 + 2 + 41 + 0 + 64 + 4 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2424106445471) 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, 1428073 + ... + 2624424.

It is an arithmetic number, because the mean of its divisors is an integer number (50153715248).

Almost surely, 22424106445472 is an apocalyptic number.

It is an amenable number.

2424106445472 is an abundant number, since it is smaller than the sum of its proper divisors (4798028550240).

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

2424106445472 is a wasteful number, since it uses less digits than its factorization.

2424106445472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052611 (or 4052600 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 2424106445472 in words is "two trillion, four hundred twenty-four billion, one hundred six million, four hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 67 72 93 96 124 134 144 186 201 248 268 279 288 372 402 496 536 558 603 744 804 992 1072 1116 1206 1488 1608 2077 2144 2232 2412 2976 3216 4154 4464 4824 6231 6432 8308 8928 9648 12462 16616 18693 19296 24924 33232 37386 49848 66464 74772 99696 149544 199392 299088 598176 4052497 8104994 12157491 16209988 24314982 32419976 36472473 48629964 64839952 72944946 97259928 125627407 129679904 145889892 194519856 251254814 271517299 291779784 376882221 389039712 502509628 543034598 583559568 753764442 814551897 1005019256 1086069196 1130646663 1167119136 1507528884 1629103794 2010038512 2172138392 2261293326 2443655691 3015057768 3258207588 4020077024 4344276784 4522586652 4887311382 6030115536 6516415176 8417036269 8688553568 9045173304 9774622764 12060231072 13032830352 16834072538 18090346608 19549245528 25251108807 26065660704 33668145076 36180693216 39098491056 50502217614 67336290152 75753326421 78196982112 101004435228 134672580304 151506652842 202008870456 269345160608 303013305684 404017740912 606026611368 808035481824 1212053222736 2424106445472