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32142325104988 = 22737733331127591
BaseRepresentation
bin1110100111011101101111…
…10111101100000101011100
311012210202221220100001121221
413103232313313230011130
513203104440211324423
6152205551425103124
76525130531335310
oct723566767540534
9135722856301557
1032142325104988
11a27253563384a
123731493787aa4
1314c201518a677
147d19a818db40
153ab167ba7e5d
hex1d3bb7dec15c

32142325104988 has 96 divisors (see below), whose sum is σ = 66947101856768. Its totient is φ = 13215302668800.

The previous prime is 32142325104979. The next prime is 32142325105001. The reversal of 32142325104988 is 88940152324123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251853073 + ... + 251980663.

Almost surely, 232142325104988 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 32142325104988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33473550928384).

32142325104988 is an abundant number, since it is smaller than the sum of its proper divisors (34804776751780).

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

32142325104988 is a wasteful number, since it uses less digits than its factorization.

32142325104988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131043 (or 131041 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 32142325104988 in words is "thirty-two trillion, one hundred forty-two billion, three hundred twenty-five million, one hundred four thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 37 73 74 146 148 259 292 511 518 1022 1036 2044 2701 3331 5402 6662 10804 13324 18907 23317 37814 46634 75628 93268 123247 127591 243163 246494 255182 486326 492988 510364 862729 893137 972652 1702141 1725458 1786274 3404282 3450916 3572548 4720867 6808564 8997031 9314143 9441734 17994062 18628286 18883468 33046069 35988124 37256572 62979217 65199001 66092138 125958434 130398002 132184276 251916868 260796004 344623291 425005621 689246582 850011242 1378493164 1700022484 2412363037 2975039347 4824726074 5950078694 9649452148 11900157388 15725207977 31025410333 31450415954 62050820666 62900831908 110076455839 124101641332 217177872331 220152911678 434355744662 440305823356 868711489324 1147940182321 2295880364642 4591760729284 8035581276247 16071162552494 32142325104988