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153442345306044 = 223101771531640929
BaseRepresentation
bin100010111000111000010100…
…011111000100011110111100
3202010021221111212110212102210
4202320320110133010132330
5130102444410344243134
61302202235034420420
744214562234111314
oct4270702437043674
9663257455425383
10153442345306044
1144989595767533
12152621a2b91710
136780721935552
1429c6913346444
1512b15c2dc42e9
hex8b8e147c47bc

153442345306044 has 48 divisors (see below), whose sum is σ = 361581918556320. Its totient is φ = 50640350822400.

The previous prime is 153442345306043. The next prime is 153442345306073. The reversal of 153442345306044 is 440603543244351.

153442345306044 is digitally balanced in base 2, 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 = 153442345305984 and 153442345306002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153442345306043) 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, 92688972 + ... + 94329900.

It is an arithmetic number, because the mean of its divisors is an integer number (7532956636590).

Almost surely, 2153442345306044 is an apocalyptic number.

It is an amenable number.

153442345306044 is an abundant number, since it is smaller than the sum of its proper divisors (208139573250276).

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

153442345306044 is a wasteful number, since it uses less digits than its factorization.

153442345306044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718190 (or 1718188 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 153442345306044 in words is "one hundred fifty-three trillion, four hundred forty-two billion, three hundred forty-five million, three hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 77153 154306 231459 308612 462918 925836 1640929 3281858 4922787 6563716 7792453 9845574 15584906 19691148 23377359 31169812 46754718 93509436 165733829 331467658 497201487 662935316 994402974 1988805948 126602595137 253205190274 379807785411 506410380548 759615570822 1519231141644 12786862108837 25573724217674 38360586326511 51147448435348 76721172653022 153442345306044