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11154305040 = 2435105144221
BaseRepresentation
bin10100110001101100…
…10011000000010000
31001210100210101221220
422120312103000100
5140321000230130
65042455245040
7543262012524
oct123066230020
931710711856
1011154305040
11480435051a
1221b3679780
131089ba2bc8
1477b599d84
154543be410
hex298d93010

11154305040 has 80 divisors (see below), whose sum is σ = 34612028736. Its totient is φ = 2971584000.

The previous prime is 11154305039. The next prime is 11154305051. The reversal of 11154305040 is 4050345111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11154305040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230130 + ... + 274350.

Almost surely, 211154305040 is an apocalyptic number.

11154305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11154305040 is an abundant number, since it is smaller than the sum of its proper divisors (23457723696).

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

11154305040 is a wasteful number, since it uses less digits than its factorization.

11154305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45288 (or 45282 counting only the distinct ones).

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

The spelling of 11154305040 in words is "eleven billion, one hundred fifty-four million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1051 2102 3153 4204 5255 6306 8408 10510 12612 15765 16816 21020 25224 31530 42040 44221 50448 63060 84080 88442 126120 132663 176884 221105 252240 265326 353768 442210 530652 663315 707536 884420 1061304 1326630 1768840 2122608 2653260 3537680 5306520 10613040 46476271 92952542 139428813 185905084 232381355 278857626 371810168 464762710 557715252 697144065 743620336 929525420 1115430504 1394288130 1859050840 2230861008 2788576260 3718101680 5577152520 11154305040