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152003221434 = 23343336119477
BaseRepresentation
bin1000110110010000011…
…0010001011110111010
3112112100100212201002000
42031210012101132322
54442300311041214
6153455044321430
713660532030661
oct2154406213672
9475310781060
10152003221434
1159511946059
12255616a3276
13114455b3b9c
1474dd847dd8
153e498cb809
hex23641917ba

152003221434 has 64 divisors (see below), whose sum is σ = 345760990080. Its totient is φ = 49472156160.

The previous prime is 152003221427. The next prime is 152003221441. The reversal of 152003221434 is 434122300251.

152003221434 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 3 + 221 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (152003221427) and next prime (152003221441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152003221398 and 152003221407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7794504 + ... + 7813980.

It is an arithmetic number, because the mean of its divisors is an integer number (5402515470).

Almost surely, 2152003221434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152003221434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172880495040).

152003221434 is an abundant number, since it is smaller than the sum of its proper divisors (193757768646).

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

152003221434 is a wasteful number, since it uses less digits than its factorization.

152003221434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22892 (or 22886 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 152003221434 its reverse (434122300251), we get a palindrome (586125521685).

The spelling of 152003221434 in words is "one hundred fifty-two billion, three million, two hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 3361 6722 10083 19477 20166 30249 38954 58431 60498 90747 116862 144523 175293 181494 289046 350586 433569 525879 837511 867138 1051758 1300707 1675022 2512533 2601414 3902121 5025066 7537599 7804242 15075198 22612797 45225594 65462197 130924394 196386591 392773182 589159773 1178319546 1767479319 2814874471 3534958638 5629748942 8444623413 16889246826 25333870239 50667740478 76001610717 152003221434