Search a number
-
+
139208509440 = 21133571113503
BaseRepresentation
bin1000000110100101111…
…0010100100000000000
3111022022200100222211000
42001221132110200000
54240044334300230
6143541305252000
713025500543440
oct2015136244000
9438280328730
10139208509440
1154046635610
1222b90794000
13101868cb3a0
146a4847a120
15394b4cab60
hex2069794800

139208509440 has 1536 divisors, whose sum is σ = 665725132800. Its totient is φ = 26648248320.

The previous prime is 139208509423. The next prime is 139208509457. The reversal of 139208509440 is 44905802931.

139208509440 is a `hidden beast` number, since 13 + 92 + 0 + 8 + 509 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (139208509423) and next prime (139208509457).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1392085094402 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276756229 + ... + 276756731.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 2139208509440 is an apocalyptic number.

139208509440 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 139208509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332862566400).

139208509440 is an abundant number, since it is smaller than the sum of its proper divisors (526516623360).

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

139208509440 is a wasteful number, since it uses less digits than its factorization.

139208509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 139208509440 in words is "one hundred thirty-nine billion, two hundred eight million, five hundred nine thousand, four hundred forty".