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1352131440440 = 235113199129871
BaseRepresentation
bin10011101011010001010…
…100000110111100111000
311210021002100212000110112
4103223101110012330320
5134123131122043230
62513054405203452
7166455035416244
oct23532124067470
94707070760415
101352131440440
11481487a47a70
1219a076100588
139a675612811
144962cdcb424
152528a992d95
hex13ad1506f38

1352131440440 has 64 divisors (see below), whose sum is σ = 3425928376320. Its totient is φ = 475823376000.

The previous prime is 1352131440437. The next prime is 1352131440487. The reversal of 1352131440440 is 440441312531.

It is a junction number, because it is equal to n+sod(n) for n = 1352131440397 and 1352131440406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49551296 + ... + 49578575.

It is an arithmetic number, because the mean of its divisors is an integer number (53530130880).

Almost surely, 21352131440440 is an apocalyptic number.

1352131440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352131440440 is an abundant number, since it is smaller than the sum of its proper divisors (2073796935880).

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

1352131440440 is a wasteful number, since it uses less digits than its factorization.

1352131440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99129924 (or 99129920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1352131440440 its reverse (440441312531), we get a palindrome (1792572752971).

The spelling of 1352131440440 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 99129871 198259742 396519484 495649355 793038968 991298710 1090428581 1982597420 2180857162 3073026001 3965194840 4361714324 5452142905 6146052002 8723428648 10904285810 12292104004 15365130005 21808571620 24584208008 30730260010 33803286011 43617143240 61460520020 67606572022 122921040040 135213144044 169016430055 270426288088 338032860110 676065720220 1352131440440