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153142710439040 = 275773468269051
BaseRepresentation
bin100010110100100001010000…
…110110110000110010000000
3202002020022002210121111222222
4202310201100312300302000
5130033042232333022130
61301412442343350212
744154124061551430
oct4264412066606200
9662208083544888
10153142710439040
1144883505691043
12152140bba52368
13675b3ac65ab8a
1429b620a8d02c0
1512a88d77dcce5
hex8b4850db0c80

153142710439040 has 128 divisors (see below), whose sum is σ = 424139376539520. Its totient is φ = 51786810777600.

The previous prime is 153142710439013. The next prime is 153142710439133. The reversal of 153142710439040 is 40934017241351.

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

It is a super-2 number, since 2×1531427104390402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153142710438982 and 153142710439000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233807486 + ... + 234461565.

It is an arithmetic number, because the mean of its divisors is an integer number (3313588879215).

Almost surely, 2153142710439040 is an apocalyptic number.

153142710439040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153142710439040 is an abundant number, since it is smaller than the sum of its proper divisors (270996666100480).

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

153142710439040 is an equidigital number, since it uses as much as digits as its factorization.

153142710439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468269150 (or 468269138 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 153142710439040 in words is "one hundred fifty-three trillion, one hundred forty-two billion, seven hundred ten million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 280 292 320 365 448 511 560 584 640 730 896 1022 1120 1168 1460 2044 2240 2336 2555 2920 4088 4480 4672 5110 5840 8176 9344 10220 11680 16352 20440 23360 32704 40880 46720 65408 81760 163520 327040 468269051 936538102 1873076204 2341345255 3277883357 3746152408 4682690510 6555766714 7492304816 9365381020 13111533428 14984609632 16389416785 18730762040 26223066856 29969219264 32778833570 34183640723 37461524080 52446133712 59938438528 65557667140 68367281446 74923048160 104892267424 131115334280 136734562892 149846096320 170918203615 209784534848 239285485061 262230668560 273469125784 299692192640 341836407230 419569069696 478570970122 524461337120 546938251568 683672814460 957141940244 1048922674240 1093876503136 1196427425305 1367345628920 1914283880488 2097845348480 2187753006272 2392854850610 2734691257840 3828567760976 4375506012544 4785709701220 5469382515680 7657135521952 9571419402440 10938765031360 15314271043904 19142838804880 21877530062720 30628542087808 38285677609760 76571355219520 153142710439040