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146450150335120 = 24517331056334033
BaseRepresentation
bin100001010011001000010101…
…001100000010001010010000
3201012112111102210001110010111
4201103020111030002022100
5123143414401441210440
61235250134214011104
742563450151360652
oct4123102514021220
9635474383043114
10146450150335120
1142733183a0a045
121451302b046a94
136394261336b28
1428243219446d2
1511de787a0b4ea
hex853215302290

146450150335120 has 40 divisors (see below), whose sum is σ = 340693077981816. Its totient is φ = 58546257389568.

The previous prime is 146450150335109. The next prime is 146450150335121. The reversal of 146450150335120 is 21533051054641.

It can be written as a sum of positive squares in 4 ways, for example, as 29459189127424 + 116990961207696 = 5427632^2 + 10816236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (146450150335121) 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, 528028377 + ... + 528305656.

Almost surely, 2146450150335120 is an apocalyptic number.

146450150335120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146450150335120 is an abundant number, since it is smaller than the sum of its proper divisors (194242927646696).

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

146450150335120 is a wasteful number, since it uses less digits than its factorization.

146450150335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056335779 (or 1056335773 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 146450150335120 in words is "one hundred forty-six trillion, four hundred fifty billion, one hundred fifty million, three hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1733 3466 6932 8665 13864 17330 27728 34660 69320 138640 1056334033 2112668066 4225336132 5281670165 8450672264 10563340330 16901344528 21126680660 42253361320 84506722640 1830626879189 3661253758378 7322507516756 9153134395945 14645015033512 18306268791890 29290030067024 36612537583780 73225075167560 146450150335120