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41081438694240 = 2532574075539553
BaseRepresentation
bin10010101011101000001001…
…00011110110101101100000
312101110100101002121202021100
421111310010203312231200
520341034241301203430
6223212315152354400
711440015230216150
oct1125640443665540
9171410332552240
1041081438694240
11120a95a417434a
124735a36845a00
1319bcc69a73c79
14a204d07a2760
154b3950ddb960
hex255d048f6b60

41081438694240 has 144 divisors (see below), whose sum is σ = 160217610946848. Its totient is φ = 9390043127808.

The previous prime is 41081438694221. The next prime is 41081438694293. The reversal of 41081438694240 is 4249683418014.

41081438694240 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 14 + 386 + 9 + 4 + 240 = 666.

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

It is a congruent number.

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, 2037759697 + ... + 2037779856.

It is an arithmetic number, because the mean of its divisors is an integer number (1112622298242).

Almost surely, 241081438694240 is an apocalyptic number.

41081438694240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41081438694240 is an abundant number, since it is smaller than the sum of its proper divisors (119136172252608).

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

41081438694240 is a wasteful number, since it uses less digits than its factorization.

41081438694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075539581 (or 4075539570 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 41081438694240 in words is "forty-one trillion, eighty-one billion, four hundred thirty-eight million, six hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 4075539553 8151079106 12226618659 16302158212 20377697765 24453237318 28528776871 32604316424 36679855977 40755395530 48906474636 57057553742 61133093295 65208632848 73359711954 81510791060 85586330613 97812949272 114115107484 122266186590 130417265696 142643884355 146719423908 163021582120 171172661226 183399279885 195625898544 228230214968 244532373180 256758991839 285287768710 293438847816 326043164240 342345322452 366798559770 391251797088 427931653065 456460429936 489064746360 513517983678 570575537420 586877695632 652086328480 684690644904 733597119540 855863306130 912920859872 978129492720 1027035967356 1141151074840 1173755391264 1283794959195 1369381289808 1467194239080 1711726612260 1956258985440 2054071934712 2282302149680 2567589918390 2738762579616 2934388478160 3423453224520 4108143869424 4564604299360 5135179836780 5868776956320 6846906449040 8216287738848 10270359673560 13693812898080 20540719347120 41081438694240