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152135534340240 = 24351157627096341
BaseRepresentation
bin100010100101110111010000…
…011110110110100010010000
3201221200000101222002111120220
4202211313100132312202100
5124420042033242341430
61255322033304233040
744021300236143513
oct4245672036664220
9657600358074526
10152135534340240
1144525354a73990
1215090a7676b780
1366b741c750139
14297d5833aad7a
15128c5db075110
hex8a5dd07b6890

152135534340240 has 80 divisors (see below), whose sum is σ = 514494716141376. Its totient is φ = 36881341657600.

The previous prime is 152135534340217. The next prime is 152135534340299. The reversal of 152135534340240 is 42043435531251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 152135534340192 and 152135534340201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28813545531 + ... + 28813550810.

Almost surely, 2152135534340240 is an apocalyptic number.

152135534340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152135534340240 is an abundant number, since it is smaller than the sum of its proper divisors (362359181801136).

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

152135534340240 is a wasteful number, since it uses less digits than its factorization.

152135534340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57627096368 (or 57627096362 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 152135534340240 its reverse (42043435531251), we get a palindrome (194178969871491).

The spelling of 152135534340240 in words is "one hundred fifty-two trillion, one hundred thirty-five billion, five hundred thirty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 57627096341 115254192682 172881289023 230508385364 288135481705 345762578046 461016770728 576270963410 633898059751 691525156092 864406445115 922033541456 1152541926820 1267796119502 1383050312184 1728812890230 1901694179253 2305083853640 2535592239004 2766100624368 3169490298755 3457625780460 3803388358506 4610167707280 5071184478008 6338980597510 6915251560920 7606776717012 9508470896265 10142368956016 12677961195020 13830503121840 15213553434024 19016941792530 25355922390040 30427106868048 38033883585060 50711844780080 76067767170120 152135534340240