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141126662235006 = 232722922512172839
BaseRepresentation
bin100000000101101010011100…
…100100100010001101111110
3200111200120120202000011220100
4200011222130210202031332
5121444204401013010011
61220052405452501530
741504031152211150
oct4005523444421576
9614616522004810
10141126662235006
1140a70532737aa8
12139b336177a8a6
136099258208296
1426bc7d17d2ad0
15114b065a53d56
hex805a9c92237e

141126662235006 has 96 divisors (see below), whose sum is σ = 351138592396800. Its totient is φ = 40127972184000.

The previous prime is 141126662234911. The next prime is 141126662235011. The reversal of 141126662235006 is 600532266621141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63863935 + ... + 66036773.

It is an arithmetic number, because the mean of its divisors is an integer number (3657693670800).

Almost surely, 2141126662235006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141126662235006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175569296198400).

141126662235006 is an abundant number, since it is smaller than the sum of its proper divisors (210011930161794).

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

141126662235006 is a wasteful number, since it uses less digits than its factorization.

141126662235006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175334 (or 2175331 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 141126662235006 in words is "one hundred forty-one trillion, one hundred twenty-six billion, six hundred sixty-two million, two hundred thirty-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 2251 3206 4122 4502 4809 6753 9618 13506 14427 15757 20259 28854 31514 40518 47271 94542 141813 283626 515479 1030958 1546437 2172839 3092874 3608353 4345678 4639311 6518517 7216706 9278622 10825059 13037034 15209873 19555551 21650118 30419746 32475177 39111102 45629619 64950354 91259238 136888857 273777714 497580131 995160262 1492740393 2985480786 3483060917 4478221179 4891060589 6966121834 8956442358 9782121178 10449182751 14673181767 20898365502 29346363534 31347548253 34237424123 44019545301 62695096506 68474848246 88039090602 102712272369 205424544738 308136817107 616273634214 1120052874881 2240105749762 3360158624643 6720317249286 7840370124167 10080475873929 15680740248334 20160951747858 23521110372501 47042220745002 70563331117503 141126662235006