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149307680340 = 2232571341222323
BaseRepresentation
bin1000101100001101101…
…1100110011001010100
3112021101111202000211200
42023003123212121110
54421240231232330
6152331353432500
713533661225410
oct2130333463124
9467344660750
10149307680340
1158359325145
1224b2aa0b730
1311105ccbb60
147325855d40
153d3ce27a60
hex22c36e6654

149307680340 has 288 divisors, whose sum is σ = 571013404416. Its totient is φ = 30733793280.

The previous prime is 149307680339. The next prime is 149307680341. The reversal of 149307680340 is 43086703941.

It is an interprime number because it is at equal distance from previous prime (149307680339) and next prime (149307680341).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149307680341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560419 + ... + 782741.

It is an arithmetic number, because the mean of its divisors is an integer number (1982685432).

Almost surely, 2149307680340 is an apocalyptic number.

149307680340 is a gapful number since it is divisible by the number (10) 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 149307680340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285506702208).

149307680340 is an abundant number, since it is smaller than the sum of its proper divisors (421705724076).

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

149307680340 is a wasteful number, since it uses less digits than its factorization.

149307680340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222399 (or 222394 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 149307680340 in words is "one hundred forty-nine billion, three hundred seven million, six hundred eighty thousand, three hundred forty".