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11434032200040 = 2335821711159577
BaseRepresentation
bin1010011001100011000101…
…1011010111100101101000
31111111002020100210221021120
42212120301123113211220
52444313344220400130
640152415531535240
72260036656050412
oct246306133274550
944432210727246
1011434032200040
11370916710196a
121347baa2ba520
1364c2bc611368
142b75a54b99b2
1514c65abb2910
hexa66316d7968

11434032200040 has 64 divisors (see below), whose sum is σ = 34302543629760. Its totient is φ = 3049035517440.

The previous prime is 11434032200023. The next prime is 11434032200099. The reversal of 11434032200040 is 4000223043411.

11434032200040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 9280732 + ... + 10440308.

It is an arithmetic number, because the mean of its divisors is an integer number (535977244215).

Almost surely, 211434032200040 is an apocalyptic number.

11434032200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434032200040 is an abundant number, since it is smaller than the sum of its proper divisors (22868511429720).

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

11434032200040 is a wasteful number, since it uses less digits than its factorization.

11434032200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241762 (or 1241758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11434032200040 its reverse (4000223043411), we get a palindrome (15434255243451).

The spelling of 11434032200040 in words is "eleven trillion, four hundred thirty-four billion, thirty-two million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 82171 164342 246513 328684 410855 493026 657368 821710 986052 1159577 1232565 1643420 1972104 2319154 2465130 3286840 3478731 4638308 4930260 5797885 6957462 9276616 9860520 11595770 13914924 17393655 23191540 27829848 34787310 46383080 69574620 139149240 95283601667 190567203334 285850805001 381134406668 476418008335 571701610002 762268813336 952836016670 1143403220004 1429254025005 1905672033340 2286806440008 2858508050010 3811344066680 5717016100020 11434032200040