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131032453440 = 2635719498877
BaseRepresentation
bin111101000001000100…
…1001001000101000000
3110112012212200022111010
41322002021021011000
54121323302002230
6140110120120520
712316051322460
oct1720211110500
9415185608433
10131032453440
1150630449739
122148a606140
13c482a65625
1464b0663ba0
15361d8059b0
hex1e82249140

131032453440 has 112 divisors (see below), whose sum is σ = 475460641152. Its totient is φ = 29950273536.

The previous prime is 131032453417. The next prime is 131032453441. The reversal of 131032453440 is 44354230131.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 131032453398 and 131032453407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032453441) 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, 9742719 + ... + 9756158.

It is an arithmetic number, because the mean of its divisors is an integer number (4245184296).

Almost surely, 2131032453440 is an apocalyptic number.

131032453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032453440 is an abundant number, since it is smaller than the sum of its proper divisors (344428187712).

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

131032453440 is a wasteful number, since it uses less digits than its factorization.

131032453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19498904 (or 19498894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 131032453440 its reverse (44354230131), we get a palindrome (175386683571).

The spelling of 131032453440 in words is "one hundred thirty-one billion, thirty-two million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19498877 38997754 58496631 77995508 97494385 116993262 136492139 155991016 194988770 233986524 272984278 292483155 311982032 389977540 409476417 467973048 545968556 584966310 623964064 682460695 779955080 818952834 935946096 1091937112 1169932620 1247928128 1364921390 1559910160 1637905668 1871892192 2047382085 2183874224 2339865240 2729842780 3119820320 3275811336 3743784384 4094764170 4367748448 4679730480 5459685560 6239640640 6551622672 8189528340 8735496896 9359460960 10919371120 13103245344 16379056680 18718921920 21838742240 26206490688 32758113360 43677484480 65516226720 131032453440