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146121022550232 = 2332291374016591933
BaseRepresentation
bin100001001110010101110011…
…101001001011000011011000
3201011101000220022001122012200
4201032111303221023003120
5123123021323233101412
61234435023203210200
742530616104353542
oct4116256351130330
9634330808048180
10146121022550232
1142616639953954
121447b296976960
13636c1cba5bb62
14281241c160692
1511d5e230b29dc
hex84e573a4b0d8

146121022550232 has 384 divisors, whose sum is σ = 414248944824000. Its totient is φ = 46473051340800.

The previous prime is 146121022550221. The next prime is 146121022550263. The reversal of 146121022550232 is 232055220121641.

146121022550232 is a `hidden beast` number, since 1 + 4 + 6 + 12 + 102 + 2 + 5 + 502 + 32 = 666.

It is a super-2 number, since 2×1461210225502322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75592871538 + ... + 75592873470.

Almost surely, 2146121022550232 is an apocalyptic number.

146121022550232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146121022550232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207124472412000).

146121022550232 is an abundant number, since it is smaller than the sum of its proper divisors (268127922273768).

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

146121022550232 is a wasteful number, since it uses less digits than its factorization.

146121022550232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 146121022550232 its reverse (232055220121641), we get a palindrome (378176242671873).

The spelling of 146121022550232 in words is "one hundred forty-six trillion, one hundred twenty-one billion, twenty-two million, five hundred fifty thousand, two hundred thirty-two".