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41401856729700 = 2234525111340337
BaseRepresentation
bin10010110100111100111101…
…11101101010001001100100
312102120222102120200110010000
421122132132331222021210
520411312000310322300
6224015430031101300
711502120414454635
oct1132363675521144
9172528376613100
1041401856729700
1112212479863915
124787b5a071830
131a14241a64c5c
14a31c0952788c
154bbe55d8dc00
hex25a79ef6a264

41401856729700 has 90 divisors (see below), whose sum is σ = 134208463254866. Its totient is φ = 11040495125760.

The previous prime is 41401856729693. The next prime is 41401856729729. The reversal of 41401856729700 is 792765810414.

41401856729700 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 8 + 567 + 2 + 9 + 70 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 801307844964 + 40600548884736 = 895158^2 + 6371856^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×414018567297002 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 29 ways as a sum of consecutive naturals, for example, 2555662069 + ... + 2555678268.

Almost surely, 241401856729700 is an apocalyptic number.

It is an amenable number.

41401856729700 is an abundant number, since it is smaller than the sum of its proper divisors (92806606525166).

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

41401856729700 is a wasteful number, since it uses less digits than its factorization.

41401856729700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111340363 (or 5111340347 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 41401856729700 in words is "forty-one trillion, four hundred one billion, eight hundred fifty-six million, seven hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 5111340337 10222680674 15334021011 20445361348 25556701685 30668042022 46002063033 51113403370 61336084044 76670105055 92004126066 102226806740 127783508425 138006189099 153340210110 184008252132 230010315165 255567016850 276012378198 306680420220 383350525275 414018567297 460020630330 511134033700 552024756396 690030945495 766701050550 828037134594 920041260660 1150051575825 1380061890990 1533402101100 1656074269188 2070092836485 2300103151650 2760123781980 3450154727475 4140185672970 4600206303300 6900309454950 8280371345940 10350464182425 13800618909900 20700928364850 41401856729700