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151132314154420 = 225713971139323531
BaseRepresentation
bin100010010111010000111011…
…111001100011010110110100
3201211010002220211022200121101
4202113100323321203112310
5124302122434410420140
61253233120542055444
743555643430232564
oct4227207371432664
9654102824280541
10151132314154420
11441789443687a5
1214b4a55627a584
136643940298c01
142946bb3402da4
151271471c7499a
hex89743be635b4

151132314154420 has 96 divisors (see below), whose sum is σ = 322700704655616. Its totient is φ = 59443601817600.

The previous prime is 151132314154391. The next prime is 151132314154439. The reversal of 151132314154420 is 24451413231151.

It is a happy number.

151132314154420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151132314154420.

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, 6422678055 + ... + 6422701585.

It is an arithmetic number, because the mean of its divisors is an integer number (3361465673496).

Almost surely, 2151132314154420 is an apocalyptic number.

151132314154420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151132314154420 is an abundant number, since it is smaller than the sum of its proper divisors (171568390501196).

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

151132314154420 is a wasteful number, since it uses less digits than its factorization.

151132314154420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35401 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 151132314154420 its reverse (24451413231151), we get a palindrome (175583727385571).

The spelling of 151132314154420 in words is "one hundred fifty-one trillion, one hundred thirty-two billion, three hundred fourteen million, one hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 397 710 794 1420 1588 1985 3970 7940 11393 22786 23531 28187 45572 47062 56374 56965 94124 112748 113930 117655 140935 227860 235310 281870 470620 563740 808903 1617806 1670701 3235612 3341402 4044515 4523021 6682804 8089030 8353505 9046042 9341807 16178060 16707010 18092084 18683614 22615105 33414020 37367228 45230210 46709035 90460420 93418070 186836140 268088683 321134491 536177366 642268982 663268297 1072354732 1284537964 1326536594 1340443415 1605672455 2653073188 2680886830 3211344910 3316341485 5361773660 6422689820 6632682970 13265365940 19034296493 38068592986 76137185972 95171482465 106431207151 190342964930 212862414302 380685929860 425724828604 532156035755 1064312071510 2128624143020 7556615707721 15113231415442 30226462830884 37783078538605 75566157077210 151132314154420