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40105542150 = 2345270913967
BaseRepresentation
bin100101010110011110…
…100000001000000110
310211112000122122010000
4211112132200020012
51124114004322100
630231344542130
72616565324602
oct452636401006
9124460578100
1040105542150
1116010595463
127933321946
133a21bb683b
141d26602502
15109add3900
hex9567a0206

40105542150 has 120 divisors (see below), whose sum is σ = 111599151840. Its totient is φ = 10678962240.

The previous prime is 40105542143. The next prime is 40105542229. The reversal of 40105542150 is 5124550104.

40105542150 is a `hidden beast` number, since 4 + 0 + 105 + 542 + 15 + 0 = 666.

It is a super-2 number, since 2×401055421502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2864467 + ... + 2878433.

It is an arithmetic number, because the mean of its divisors is an integer number (929992932).

Almost surely, 240105542150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105542150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55799575920).

40105542150 is an abundant number, since it is smaller than the sum of its proper divisors (71493609690).

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

40105542150 is a wasteful number, since it uses less digits than its factorization.

40105542150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 40105542150 in words is "forty billion, one hundred five million, five hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 709 810 1350 1418 2025 2127 3545 4050 4254 6381 7090 10635 12762 13967 17725 19143 21270 27934 31905 35450 38286 41901 53175 57429 63810 69835 83802 95715 106350 114858 125703 139670 159525 191430 209505 251406 287145 319050 349175 377109 419010 478575 574290 628515 698350 754218 957150 1047525 1131327 1257030 1435725 1885545 2095050 2262654 2871450 3142575 3771090 5656635 6285150 9427725 9902603 11313270 18855450 19805206 28283175 29707809 49513015 56566350 59415618 89123427 99026030 148539045 178246854 247565075 267370281 297078090 445617135 495130150 534740562 742695225 802110843 891234270 1336851405 1485390450 1604221686 2228085675 2673702810 4010554215 4456171350 6684257025 8021108430 13368514050 20052771075 40105542150