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134331445514670 = 235415091085919759
BaseRepresentation
bin11110100010110001111010…
…000101111001000110101110
3122121121221221101220200011120
4132202301322011321012232
5120101341300022432140
61153411003015401410
740203061306125465
oct3642617205710656
9577557841820146
10134331445514670
1139890711a85748
1213096401383266
1359c5529b9aa21
142525968a479dc
15107e4086c21d0
hex7a2c7a1791ae

134331445514670 has 128 divisors (see below), whose sum is σ = 330954833664000. Its totient is φ = 34874381091840.

The previous prime is 134331445514647. The next prime is 134331445514671. The reversal of 134331445514670 is 76415544133431.

It is a super-2 number, since 2×1343314455146702 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134331445514671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6798484251 + ... + 6798504009.

It is an arithmetic number, because the mean of its divisors is an integer number (2585584638000).

Almost surely, 2134331445514670 is an apocalyptic number.

134331445514670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134331445514670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165477416832000).

134331445514670 is an abundant number, since it is smaller than the sum of its proper divisors (196623388149330).

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

134331445514670 is a wasteful number, since it uses less digits than its factorization.

134331445514670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178.

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 134331445514670 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, four hundred forty-five million, five hundred fourteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 509 615 1018 1230 1527 2545 3054 5090 7635 10859 15270 19759 20869 21718 32577 39518 41738 54295 59277 62607 65154 98795 104345 108590 118554 125214 162885 197590 208690 296385 313035 325770 445219 592770 626070 810119 890438 1335657 1620238 2226095 2430357 2671314 4050595 4452190 4860714 5527231 6678285 8101190 10057331 11054462 12151785 13356570 16581693 20114662 24303570 27636155 30171993 33163386 50286655 55272310 60343986 82908465 100573310 150859965 165816930 214562981 226616471 301719930 412350571 429125962 453232942 643688943 679849413 824701142 1072814905 1133082355 1237051713 1287377886 1359698826 2061752855 2145629810 2266164710 2474103426 3218444715 3399247065 4123505710 6185258565 6436889430 6798494130 8797082221 12370517130 17594164442 26391246663 43985411105 52782493326 87970822210 109212557329 131956233315 218425114658 263912466630 327637671987 546062786645 655275343974 1092125573290 1638188359935 3276376719870 4477714850489 8955429700978 13433144551467 22388574252445 26866289102934 44777148504890 67165722757335 134331445514670