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134577363440 = 2451329953947
BaseRepresentation
bin111110101010101101…
…1111001100111110000
3110212100221001101211002
41331111123321213300
54201103301112230
6141453551541132
712502644500162
oct1752533714760
9425327041732
10134577363440
115208a460023
12220b982a7a8
13c8c92c7600
146729392932
153779b34545
hex1f556f99f0

134577363440 has 60 divisors (see below), whose sum is σ = 338812482024. Its totient is φ = 49690098432.

The previous prime is 134577363439. The next prime is 134577363457. The reversal of 134577363440 is 44363775431.

It is a super-2 number, since 2×1345773634402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4963454 + ... + 4990493.

Almost surely, 2134577363440 is an apocalyptic number.

134577363440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134577363440 is an abundant number, since it is smaller than the sum of its proper divisors (204235118584).

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

134577363440 is a wasteful number, since it uses less digits than its factorization.

134577363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953986 (or 9953967 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 47.

The spelling of 134577363440 in words is "one hundred thirty-four billion, five hundred seventy-seven million, three hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 9953947 19907894 39815788 49769735 79631576 99539470 129401311 159263152 199078940 258802622 398157880 517605244 647006555 796315760 1035210488 1294013110 1682217043 2070420976 2588026220 3364434086 5176052440 6728868172 8411085215 10352104880 13457736344 16822170430 26915472688 33644340860 67288681720 134577363440