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131350534443040 = 25511667311184023
BaseRepresentation
bin11101110111011001101101…
…111100100101000000100000
3122020001222200120211102122111
4131313121231330211000200
5114204021343304134130
61143205334050045104
736444522456104653
oct3567315574450040
9566058616742574
10131350534443040
11389414a3434430
1212894744279794
13583a3c1073813
14246158503789a
15102badec3202a
hex77766df25020

131350534443040 has 96 divisors (see below), whose sum is σ = 338576911134336. Its totient is φ = 47756668661760.

The previous prime is 131350534443001. The next prime is 131350534443041. The reversal of 131350534443040 is 40344435053131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131350534442984 and 131350534443002.

It is not an unprimeable number, because it can be changed into a prime (131350534443041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6152469 + ... + 17336491.

It is an arithmetic number, because the mean of its divisors is an integer number (3526842824316).

Almost surely, 2131350534443040 is an apocalyptic number.

131350534443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131350534443040 is an abundant number, since it is smaller than the sum of its proper divisors (207226376691296).

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

131350534443040 is a wasteful number, since it uses less digits than its factorization.

131350534443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190722 (or 11190714 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 131350534443040 its reverse (40344435053131), we get a palindrome (171694969496171).

The spelling of 131350534443040 in words is "one hundred thirty-one trillion, three hundred fifty billion, five hundred thirty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6673 13346 26692 33365 53384 66730 73403 106768 133460 146806 213536 266920 293612 367015 533840 587224 734030 1067680 1174448 1468060 2348896 2936120 5872240 11184023 11744480 22368046 44736092 55920115 89472184 111840230 123024253 178944368 223680460 246048506 357888736 447360920 492097012 615121265 894721840 984194024 1230242530 1789443680 1968388048 2460485060 3936776096 4920970120 9841940240 19683880480 74630985479 149261970958 298523941916 373154927395 597047883832 746309854790 820940840269 1194095767664 1492619709580 1641881680538 2388191535328 2985239419160 3283763361076 4104704201345 5970478838320 6567526722152 8209408402690 11940957676640 13135053444304 16418816805380 26270106888608 32837633610760 65675267221520 131350534443040