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118990151040 = 2735193321109
BaseRepresentation
bin110111011010001011…
…1011001110110000000
3102101010121221222011010
41232310113121312000
53422142434313130
6130355135520520
711411454411225
oct1566427316600
9371117858133
10118990151040
1146510924702
121b089689140
13b2b3c0c2c7
145a8b19394c
1531664cb0b0
hex1bb45d9d80

118990151040 has 128 divisors (see below), whose sum is σ = 381247480800. Its totient is φ = 31566200832.

The previous prime is 118990151009. The next prime is 118990151047. The reversal of 118990151040 is 40151099811.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 118990151040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118990151047) 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 15 ways as a sum of consecutive naturals, for example, 210006 + ... + 531114.

Almost surely, 2118990151040 is an apocalyptic number.

118990151040 is a gapful number since it is divisible by the number (10) 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 118990151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190623740400).

118990151040 is an abundant number, since it is smaller than the sum of its proper divisors (262257329760).

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

118990151040 is a wasteful number, since it uses less digits than its factorization.

118990151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321324 (or 321312 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 39.

The spelling of 118990151040 in words is "one hundred eighteen billion, nine hundred ninety million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 320 384 386 480 579 640 772 960 965 1158 1544 1920 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 12352 15440 18528 23160 24704 30880 37056 46320 61760 74112 92640 123520 185280 321109 370560 642218 963327 1284436 1605545 1926654 2568872 3211090 3853308 4816635 5137744 6422180 7706616 9633270 10275488 12844360 15413232 19266540 20550976 25688720 30826464 38533080 41101952 51377440 61652928 61974037 77066160 102754880 123305856 123948074 154132320 185922111 205509760 247896148 308264640 309870185 371844222 495792296 616529280 619740370 743688444 929610555 991584592 1239480740 1487376888 1859221110 1983169184 2478961480 2974753776 3718442220 3966338368 4957922960 5949507552 7436884440 7932676736 9915845920 11899015104 14873768880 19831691840 23798030208 29747537760 39663383680 59495075520 118990151040