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1013550144 = 26359131683
BaseRepresentation
bin111100011010011…
…000110001000000
32121122011200102020
4330122120301000
54033432101034
6244323521440
734055014455
oct7432306100
92548150366
101013550144
11480139252
12243529280
13131ca2919
149887782c
155deab249
hex3c698c40

1013550144 has 112 divisors (see below), whose sum is σ = 2751978240. Its totient is φ = 329105920.

The previous prime is 1013550143. The next prime is 1013550151. The reversal of 1013550144 is 4410553101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1013550143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483627 + ... + 1484309.

Almost surely, 21013550144 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 1013550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375989120).

1013550144 is an abundant number, since it is smaller than the sum of its proper divisors (1738428096).

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

1013550144 is a wasteful number, since it uses less digits than its factorization.

1013550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1013550144 is about 31836.3022978486. The cubic root of 1013550144 is about 1004.4964661553.

The spelling of 1013550144 in words is "one billion, thirteen million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 131 177 192 236 262 354 393 472 524 683 708 786 944 1048 1366 1416 1572 1888 2049 2096 2732 2832 3144 3776 4098 4192 5464 5664 6288 7729 8196 8384 10928 11328 12576 15458 16392 21856 23187 25152 30916 32784 40297 43712 46374 61832 65568 80594 89473 92748 120891 123664 131136 161188 178946 185496 241782 247328 268419 322376 357892 370992 483564 494656 536838 644752 715784 741984 967128 1073676 1289504 1431568 1483968 1934256 2147352 2579008 2863136 3868512 4294704 5278907 5726272 7737024 8589408 10557814 15836721 17178816 21115628 31673442 42231256 63346884 84462512 126693768 168925024 253387536 337850048 506775072 1013550144