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1353352042432 = 261329359156241
BaseRepresentation
bin10011101100011010000…
…100010101011111000000
311210101020102122000121201
4103230122010111133000
5134133131110324212
62513415451030544
7166530216361525
oct23543204253700
94711212560551
101353352042432
11481a53a45345
1219a356a3b454
139a80b46b410
144970716114c
152530cbecb57
hex13b1a1157c0

1353352042432 has 112 divisors (see below), whose sum is σ = 3000221380800. Its totient is φ = 601401507840.

The previous prime is 1353352042423. The next prime is 1353352042439. The reversal of 1353352042432 is 2342402533531.

It is a junction number, because it is equal to n+sod(n) for n = 1353352042391 and 1353352042400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353352042439) 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, 8583832 + ... + 8740072.

It is an arithmetic number, because the mean of its divisors is an integer number (26787690900).

Almost surely, 21353352042432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353352042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500110690400).

1353352042432 is an abundant number, since it is smaller than the sum of its proper divisors (1646869338368).

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

1353352042432 is a wasteful number, since it uses less digits than its factorization.

1353352042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156654 (or 156644 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 1353352042432 its reverse (2342402533531), we get a palindrome (3695754575963).

The spelling of 1353352042432 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-two million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 359 377 416 464 718 754 832 928 1436 1508 1856 2872 3016 4667 5744 6032 9334 10411 11488 12064 18668 20822 22976 24128 37336 41644 74672 83288 135343 149344 156241 166576 270686 298688 312482 333152 541372 624964 666304 1082744 1249928 2031133 2165488 2499856 4062266 4330976 4530989 4999712 8124532 8661952 9061978 9999424 16249064 18123956 32498128 36247912 56090519 58902857 64996256 72495824 112181038 117805714 129992512 144991648 224362076 235611428 289983296 448724152 471222856 729176747 897448304 942445712 1458353494 1626625051 1794896608 1884891424 2916706988 3253250102 3589793216 3769782848 5833413976 6506500204 11666827952 13013000408 21146125663 23333655904 26026000816 42292251326 46667311808 52052001632 84584502652 104104003264 169169005304 338338010608 676676021216 1353352042432