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1002302440032 = 25337282179741
BaseRepresentation
bin11101001010111011110…
…00011000001001100000
310112211010011212111102210
432211131320120021200
5112410203411040112
62044241255442120
7132261663112125
oct16453570301140
93484104774383
101002302440032
1135708a6631a3
12142305086340
13736942b64aa
143672414c74c
151b11396ab3c
hexe95de18260

1002302440032 has 48 divisors (see below), whose sum is σ = 2702153209392. Its totient is φ = 325071060480.

The previous prime is 1002302439911. The next prime is 1002302440081. The reversal of 1002302440032 is 2300442032001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10023024400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002302439990 and 1002302440008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141086319 + ... + 141093422.

It is an arithmetic number, because the mean of its divisors is an integer number (56294858529).

Almost surely, 21002302440032 is an apocalyptic number.

1002302440032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002302440032 is an abundant number, since it is smaller than the sum of its proper divisors (1699850769360).

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

1002302440032 is a wasteful number, since it uses less digits than its factorization.

1002302440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282179791 (or 282179783 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1002302440032 its reverse (2300442032001), we get a palindrome (3302744472033).

The spelling of 1002302440032 in words is "one trillion, two billion, three hundred two million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 282179741 564359482 846539223 1128718964 1693078446 2257437928 3386156892 4514875856 6772313784 9029751712 10440650417 13544627568 20881300834 27089255136 31321951251 41762601668 62643902502 83525203336 125287805004 167050406672 250575610008 334100813344 501151220016 1002302440032