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11414432520 = 233453522973
BaseRepresentation
bin10101010000101101…
…00110101100001000
31002110111021020210000
422220112212230020
5141334043320040
65124350523000
7552601034631
oct125026465410
932414236700
1011414432520
114928171107
122266806460
1310cba501aa
147a3d50888
1546c154130
hex2a85a6b08

11414432520 has 80 divisors (see below), whose sum is σ = 38365186860. Its totient is φ = 3043847808.

The previous prime is 11414432461. The next prime is 11414432537. The reversal of 11414432520 is 2523441411.

It can be written as a sum of positive squares in 2 ways, for example, as 11404958436 + 9474084 = 106794^2 + 3078^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758247 + ... + 1764726.

Almost surely, 211414432520 is an apocalyptic number.

11414432520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414432520 is an abundant number, since it is smaller than the sum of its proper divisors (26950754340).

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

11414432520 is a wasteful number, since it uses less digits than its factorization.

11414432520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522996 (or 3522983 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11414432520 its reverse (2523441411), we get a palindrome (13937873931).

The spelling of 11414432520 in words is "eleven billion, four hundred fourteen million, four hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3522973 7045946 10568919 14091892 17614865 21137838 28183784 31706757 35229730 42275676 52844595 63413514 70459460 84551352 95120271 105689190 126827028 140918920 158533785 190240542 211378380 253654056 285360813 317067570 380481084 422756760 475601355 570721626 634135140 760962168 951202710 1141443252 1268270280 1426804065 1902405420 2282886504 2853608130 3804810840 5707216260 11414432520