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306007136148 = 223729641195973
BaseRepresentation
bin1000111001111110111…
…00100101011110010100
31002020212011102011101010
410130333130211132110
520003200311324043
6352324442532220
731052066511660
oct4347734453624
91066764364333
10306007136148
1110886006162a
124b381207070
1322b1952583c
1410b4cc8b8a0
157e5ec56133
hex473f725794

306007136148 has 96 divisors (see below), whose sum is σ = 845478869760. Its totient is φ = 84283637760.

The previous prime is 306007136129. The next prime is 306007136159. The reversal of 306007136148 is 841631700603.

It is a congruent number.

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, 1463490 + ... + 1659462.

It is an arithmetic number, because the mean of its divisors is an integer number (8807071560).

Almost surely, 2306007136148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306007136148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422739434880).

306007136148 is an abundant number, since it is smaller than the sum of its proper divisors (539471733612).

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

306007136148 is a wasteful number, since it uses less digits than its factorization.

306007136148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196657 (or 196655 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 306007136148 in words is "three hundred six billion, seven million, one hundred thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 641 812 1218 1282 1923 2436 2564 3846 4487 7692 8974 13461 17948 18589 26922 37178 53844 55767 74356 111534 130123 195973 223068 260246 390369 391946 520492 587919 780738 783892 1175838 1371811 1561476 2351676 2743622 4115433 5487244 5683217 8230866 11366434 16461732 17049651 22732868 34099302 39782519 68198604 79565038 119347557 125618693 159130076 238695114 251237386 376856079 477390228 502474772 753712158 879330851 1507424316 1758661702 2637992553 3517323404 3642942097 5275985106 7285884194 10551970212 10928826291 14571768388 21857652582 25500594679 43715305164 51001189358 76501784037 102002378716 153003568074 306007136148