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1118555144 = 237231831109
BaseRepresentation
bin100001010101011…
…1100110000001000
32212221202111012022
41002222330300020
54242322231034
6302554304012
736501363500
oct10252746010
92787674168
101118555144
11524439043
12272728008
1314a979565
14a87aca00
15682edb2e
hex42abcc08

1118555144 has 96 divisors (see below), whose sum is σ = 2551046400. Its totient is φ = 457914240.

The previous prime is 1118555117. The next prime is 1118555147. The reversal of 1118555144 is 4415558111.

It is a super-2 number, since 2×11185551442 = 2502331220337721472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1118555147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008062 + ... + 1009170.

It is an arithmetic number, because the mean of its divisors is an integer number (26573400).

Almost surely, 21118555144 is an apocalyptic number.

1118555144 is a gapful number since it is divisible by the number (14) 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 1118555144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275523200).

1118555144 is an abundant number, since it is smaller than the sum of its proper divisors (1432491256).

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

1118555144 is a wasteful number, since it uses less digits than its factorization.

1118555144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its digits is 16000, while the sum is 35.

The square root of 1118555144 is about 33444.8074295547. The cubic root of 1118555144 is about 1038.0520563981.

The spelling of 1118555144 in words is "one billion, one hundred eighteen million, five hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 83 98 124 166 196 217 248 332 392 434 581 664 868 1109 1162 1519 1736 2218 2324 2573 3038 4067 4436 4648 5146 6076 7763 8134 8872 10292 12152 15526 16268 18011 20584 31052 32536 34379 36022 54341 62104 68758 72044 92047 108682 126077 137516 144088 184094 217364 240653 252154 275032 368188 434728 481306 504308 644329 736376 962612 1008616 1288658 1684571 1925224 2577316 2853457 3369142 4510303 5154632 5706914 6738284 9020606 11413828 13476568 18041212 19974199 22827656 36082424 39948398 79896796 139819393 159793592 279638786 559277572 1118555144