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42501111000 = 2335373194069
BaseRepresentation
bin100111100101010000…
…110111110011011000
311001200222100010210020
4213211100313303120
51144020241023000
631305202150440
73033134324415
oct474520676330
9131628303706
1042501111000
111702a850827
1282a1652420
1340142b05ba
1420b282b10c
15118b381ba0
hex9e5437cd8

42501111000 has 128 divisors (see below), whose sum is σ = 134420644800. Its totient is φ = 11178316800.

The previous prime is 42501110989. The next prime is 42501111017. The reversal of 42501111000 is 11110524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 121966 + ... + 316034.

Almost surely, 242501111000 is an apocalyptic number.

42501111000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42501111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67210322400).

42501111000 is an abundant number, since it is smaller than the sum of its proper divisors (91919533800).

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

42501111000 is a wasteful number, since it uses less digits than its factorization.

42501111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194166 (or 194152 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 42501111000 its reverse (11110524), we get a palindrome (42512221524).

The spelling of 42501111000 in words is "forty-two billion, five hundred one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 73000 109500 194069 219000 388138 582207 776276 970345 1164414 1552552 1940690 2328828 2911035 3881380 4657656 4851725 5822070 7762760 9703450 11644140 14167037 14555175 19406900 23288280 24258625 28334074 29110350 38813800 42501111 48517250 56668148 58220700 70835185 72775875 85002222 97034500 113336296 116441400 141670370 145551750 170004444 194069000 212505555 283340740 291103500 340008888 354175925 425011110 566681480 582207000 708351850 850022220 1062527775 1416703700 1700044440 1770879625 2125055550 2833407400 3541759250 4250111100 5312638875 7083518500 8500222200 10625277750 14167037000 21250555500 42501111000