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140446121004 = 22327557325877
BaseRepresentation
bin1000001011001100111…
…1011011110000101100
3111102111221011011201100
42002303033123300230
54300113201333004
6144304155443100
713101246221430
oct2026317336054
9442457134640
10140446121004
11546211a0492
1223277156490
1310323131217
146b2499a9c0
1539bee95739
hex20b33dbc2c

140446121004 has 36 divisors (see below), whose sum is σ = 405733239184. Its totient is φ = 40127463072.

The previous prime is 140446120963. The next prime is 140446121009. The reversal of 140446121004 is 400121644041.

140446121004 is a `hidden beast` number, since 1 + 4 + 0 + 44 + 612 + 1 + 0 + 0 + 4 = 666.

140446121004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1404461210042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140446121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278662687 + ... + 278663190.

Almost surely, 2140446121004 is an apocalyptic number.

140446121004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140446121004 is an abundant number, since it is smaller than the sum of its proper divisors (265287118180).

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

140446121004 is a wasteful number, since it uses less digits than its factorization.

140446121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557325894 (or 557325889 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140446121004 its reverse (400121644041), we get a palindrome (540567765045).

The spelling of 140446121004 in words is "one hundred forty billion, four hundred forty-six million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557325877 1114651754 1671977631 2229303508 3343955262 3901281139 5015932893 6687910524 7802562278 10031865786 11703843417 15605124556 20063731572 23407686834 35111530251 46815373668 70223060502 140446121004