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152121402342 = 2327132913923039
BaseRepresentation
bin1000110110101100100…
…1000110001111100110
3112112122121020220210200
42031223021012033212
54443021034333332
6153514505331330
713663465404510
oct2155311061746
9475577226720
10152121402342
1159572625128
1225595196b46
1311463c21b10
14751140cbb0
153e54e7317c
hex236b2463e6

152121402342 has 192 divisors, whose sum is σ = 422682624000. Its totient is φ = 38456135424.

The previous prime is 152121402337. The next prime is 152121402353. The reversal of 152121402342 is 243204121251.

152121402342 is a `hidden beast` number, since 1 + 5 + 212 + 1 + 402 + 3 + 42 = 666.

152121402342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6591259 + ... + 6614297.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472000).

Almost surely, 2152121402342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152121402342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312000).

152121402342 is an abundant number, since it is smaller than the sum of its proper divisors (270561221658).

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

152121402342 is a wasteful number, since it uses less digits than its factorization.

152121402342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23235 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 152121402342 its reverse (243204121251), we get a palindrome (395325523593).

The spelling of 152121402342 in words is "one hundred fifty-two billion, one hundred twenty-one million, four hundred two thousand, three hundred forty-two".