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10042831497120 = 253561342992879
BaseRepresentation
bin1001001000100100011101…
…1001110110011110100000
31022120002022012020202011120
42102021013121312132200
52304020204330401440
633205340232412240
72054366504145612
oct222110731663640
938502265222146
1010042831497120
113222160622824
12116244bb47080
1357b05ba15566
1426a10b79cdb2
151263852d6dd0
hex922476767a0

10042831497120 has 96 divisors (see below), whose sum is σ = 32153524542720. Its totient is φ = 2634185303040.

The previous prime is 10042831497079. The next prime is 10042831497121. The reversal of 10042831497120 is 2179413824001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10042831497121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171467160 + ... + 171525719.

It is an arithmetic number, because the mean of its divisors is an integer number (334932547320).

Almost surely, 210042831497120 is an apocalyptic number.

10042831497120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042831497120 is an abundant number, since it is smaller than the sum of its proper divisors (22110693045600).

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

10042831497120 is a wasteful number, since it uses less digits than its factorization.

10042831497120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342992958 (or 342992950 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10042831497120 in words is "ten trillion, forty-two billion, eight hundred thirty-one million, four hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 342992879 685985758 1028978637 1371971516 1714964395 2057957274 2743943032 3429928790 4115914548 5144893185 5487886064 6859857580 8231829096 10289786370 10975772128 13719715160 16463658192 20579572740 20922565619 27439430320 32927316384 41159145480 41845131238 54878860640 62767696857 82318290960 83690262476 104612828095 125535393714 164636581920 167380524952 209225656190 251070787428 313838484285 334761049904 418451312380 502141574856 627676968570 669522099808 836902624760 1004283149712 1255353937140 1673805249520 2008566299424 2510707874280 3347610499040 5021415748560 10042831497120