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1004142440322 = 232775110611697
BaseRepresentation
bin11101001110010111000…
…11011010111110000010
310112222212102011012022200
432213023203122332002
5112422440431042242
62045144025214030
7132355404625350
oct16471343327602
93488772135280
101004142440322
1135794425869a
12142739331316
13738c8570268
143685a6787d0
151b1c027604c
hexe9cb8daf82

1004142440322 has 48 divisors (see below), whose sum is σ = 2489759031552. Its totient is φ = 286515792000.

The previous prime is 1004142440183. The next prime is 1004142440351. The reversal of 1004142440322 is 2230442414001.

1004142440322 is a `hidden beast` number, since 1 + 0 + 0 + 414 + 244 + 0 + 3 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5211223 + ... + 5400474.

It is an arithmetic number, because the mean of its divisors is an integer number (51869979824).

Almost surely, 21004142440322 is an apocalyptic number.

1004142440322 is an abundant number, since it is smaller than the sum of its proper divisors (1485616591230).

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

1004142440322 is a wasteful number, since it uses less digits than its factorization.

1004142440322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612463 (or 10612460 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1004142440322 its reverse (2230442414001), we get a palindrome (3234584854323).

The spelling of 1004142440322 in words is "one trillion, four billion, one hundred forty-two million, four hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 751 1502 2253 4506 5257 6759 10514 13518 15771 31542 47313 94626 10611697 21223394 31835091 63670182 74281879 95505273 148563758 191010546 222845637 445691274 668536911 1337073822 7969384447 15938768894 23908153341 47816306682 55785691129 71724460023 111571382258 143448920046 167357073387 334714146774 502071220161 1004142440322