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1143157840 = 245118291567
BaseRepresentation
bin100010000100011…
…0011010001010000
32221200001102202021
41010020303101100
54320122022330
6305233501224
740220452456
oct10410632120
92850042667
101143157840
11537312450
1227aa11814
13152ab1976
14abb749d6
156a55d67a
hex44233450

1143157840 has 80 divisors (see below), whose sum is σ = 2904814080. Its totient is φ = 414927360.

The previous prime is 1143157837. The next prime is 1143157849. The reversal of 1143157840 is 487513411.

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

It is a junction number, because it is equal to n+sod(n) for n = 1143157796 and 1143157805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143157849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728737 + ... + 730303.

It is an arithmetic number, because the mean of its divisors is an integer number (36310176).

Almost surely, 21143157840 is an apocalyptic number.

1143157840 is a gapful number since it is divisible by the number (10) 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 1143157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452407040).

1143157840 is an abundant number, since it is smaller than the sum of its proper divisors (1761656240).

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

1143157840 is a wasteful number, since it uses less digits than its factorization.

1143157840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1143157840 is about 33810.6172673614. The cubic root of 1143157840 is about 1045.6076043396.

The spelling of 1143157840 in words is "one billion, one hundred forty-three million, one hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 829 880 1567 1658 3134 3316 4145 6268 6632 7835 8290 9119 12536 13264 15670 16580 17237 18238 25072 31340 33160 34474 36476 45595 62680 66320 68948 72952 86185 91190 125360 137896 145904 172370 182380 275792 344740 364760 689480 729520 1299043 1378960 2598086 5196172 6495215 10392344 12990430 14289473 20784688 25980860 28578946 51961720 57157892 71447365 103923440 114315784 142894730 228631568 285789460 571578920 1143157840