Search a number
-
+
1143840932736 = 27329102715601
BaseRepresentation
bin10000101001010010001…
…110111000001110000000
311001100110020111220102020
4100221102032320032000
5122220041234321421
62233250120521440
7145432305335655
oct20512216701600
94040406456366
101143840932736
11401111428707
12165826020280
1383b2c8271a8
143d50dc1dc2c
151eb4978bdc6
hex10a523b8380

1143840932736 has 64 divisors (see below), whose sum is σ = 3143097421200. Its totient is φ = 368132710400.

The previous prime is 1143840932683. The next prime is 1143840932737. The reversal of 1143840932736 is 6372390483411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143840932737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51346665 + ... + 51368936.

Almost surely, 21143840932736 is an apocalyptic number.

1143840932736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1143840932736 is an abundant number, since it is smaller than the sum of its proper divisors (1999256488464).

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

1143840932736 is a wasteful number, since it uses less digits than its factorization.

1143840932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102715647 (or 102715635 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 1143840932736 in words is "one trillion, one hundred forty-three billion, eight hundred forty million, nine hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 102715601 205431202 308146803 410862404 616293606 821724808 1232587212 1643449616 2465174424 2978752429 3286899232 4930348848 5957504858 6573798464 8936257287 9860697696 11915009716 13147596928 17872514574 19721395392 23830019432 35745029148 39442790784 47660038864 71490058296 95320077728 142980116592 190640155456 285960233184 381280310912 571920466368 1143840932736