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131334034440 = 23357358143661
BaseRepresentation
bin111101001010000011…
…1100101010000001000
3110112222220011012211210
41322110013211100020
54122433003100230
6140200052053120
712326402605410
oct1722407452010
9415886135753
10131334034440
1150775702a34
12215536041a0
13c500397c1b
1464dc729640
15363a027eb0
hex1e941e5408

131334034440 has 128 divisors (see below), whose sum is σ = 450424177920. Its totient is φ = 30010137600.

The previous prime is 131334034373. The next prime is 131334034451. The reversal of 131334034440 is 44430433131.

It is a super-2 number, since 2×1313340344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131334034398 and 131334034407.

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, 2986210 + ... + 3029870.

It is an arithmetic number, because the mean of its divisors is an integer number (3518938890).

Almost surely, 2131334034440 is an apocalyptic number.

131334034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131334034440 is an abundant number, since it is smaller than the sum of its proper divisors (319090143480).

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

131334034440 is a wasteful number, since it uses less digits than its factorization.

131334034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47263 (or 47259 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 131334034440 its reverse (44430433131), we get a palindrome (175764467571).

The spelling of 131334034440 in words is "one hundred thirty-one billion, three hundred thirty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3581 7162 10743 14324 17905 21486 25067 28648 35810 42972 43661 50134 53715 71620 75201 85944 87322 100268 107430 125335 130983 143240 150402 174644 200536 214860 218305 250670 261966 300804 305627 349288 376005 429720 436610 501340 523932 601608 611254 654915 752010 873220 916881 1002680 1047864 1222508 1309830 1504020 1528135 1746440 1833762 2445016 2619660 3008040 3056270 3667524 4584405 5239320 6112540 7335048 9168810 12225080 18337620 36675240 156350041 312700082 469050123 625400164 781750205 938100246 1094450287 1250800328 1563500410 1876200492 2188900574 2345250615 3127000820 3283350861 3752400984 4377801148 4690501230 5472251435 6254001640 6566701722 8755602296 9381002460 10944502870 13133403444 16416754305 18762004920 21889005740 26266806888 32833508610 43778011480 65667017220 131334034440