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40550125100 = 22525352314629
BaseRepresentation
bin100101110000111110…
…011100111000101100
310212200000012210021012
4211300332130320230
51131021313000400
630343425524352
72633604243032
oct456076347054
9125600183235
1040550125100
1116219541191
127a381a36b8
133a93037984
141d69690552
1510c4e51d35
hex970f9ce2c

40550125100 has 72 divisors (see below), whose sum is σ = 89831594160. Its totient is φ = 15882497280.

The previous prime is 40550125097. The next prime is 40550125103. The reversal of 40550125100 is 152105504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40550125097) and next prime (40550125103).

It is not an unprimeable number, because it can be changed into a prime (40550125103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764586 + ... + 2779214.

It is an arithmetic number, because the mean of its divisors is an integer number (1247661030).

Almost surely, 240550125100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40550125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44915797080).

40550125100 is an abundant number, since it is smaller than the sum of its proper divisors (49281469060).

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

40550125100 is a wasteful number, since it uses less digits than its factorization.

40550125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 40550125100 in words is "forty billion, five hundred fifty million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 523 530 1046 1060 1325 2092 2615 2650 5230 5300 10460 13075 14629 26150 27719 29258 52300 55438 58516 73145 110876 138595 146290 277190 292580 365725 554380 692975 731450 775337 1385950 1462900 1550674 2771900 3101348 3876685 7650967 7753370 15301934 15506740 19383425 30603868 38254835 38766850 76509670 77533700 153019340 191274175 382548350 405501251 765096700 811002502 1622005004 2027506255 4055012510 8110025020 10137531275 20275062550 40550125100