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146681336040 = 23351222344467
BaseRepresentation
bin1000100010011011100…
…0111001000011101000
3112000121110210220202120
42020212320321003220
54400400410223130
6151215014031240
713411620533061
oct2104670710350
9460543726676
10146681336040
1157230876868
1224517348520
1310aa7b63b85
147156b17568
153c37591910
hex2226e390e8

146681336040 has 32 divisors (see below), whose sum is σ = 440044008480. Its totient is φ = 39115022912.

The previous prime is 146681336027. The next prime is 146681336041. The reversal of 146681336040 is 40633186641.

146681336040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146681335983 and 146681336001.

It is not an unprimeable number, because it can be changed into a prime (146681336041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611172114 + ... + 611172353.

It is an arithmetic number, because the mean of its divisors is an integer number (13751375265).

Almost surely, 2146681336040 is an apocalyptic number.

146681336040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146681336040 is an abundant number, since it is smaller than the sum of its proper divisors (293362672440).

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

146681336040 is a wasteful number, since it uses less digits than its factorization.

146681336040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222344481 (or 1222344477 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 146681336040 in words is "one hundred forty-six billion, six hundred eighty-one million, three hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1222344467 2444688934 3667033401 4889377868 6111722335 7334066802 9778755736 12223444670 14668133604 18335167005 24446889340 29336267208 36670334010 48893778680 73340668020 146681336040