Search a number
-
+
1014557112040 = 235171491995753
BaseRepresentation
bin11101100001110000101…
…00001111011011101000
310120222202020012100002211
432300320110033123220
5113110303110041130
62054025303534504
7133204446106633
oct16607024173350
93528666170084
101014557112040
113612a90496aa
1214476515a434
13748981380c4
1437167900c1a
151b5ce744a2a
hexec3850f6e8

1014557112040 has 32 divisors (see below), whose sum is σ = 2417033121480. Its totient is φ = 381950912512.

The previous prime is 1014557112001. The next prime is 1014557112059. The reversal of 1014557112040 is 402117554101.

It is a happy number.

1014557112040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 968307168676 + 46249943364 = 984026^2 + 215058^2 .

It is a super-2 number, since 2×10145571120402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014557111993 and 1014557112011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745997197 + ... + 745998556.

Almost surely, 21014557112040 is an apocalyptic number.

1014557112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014557112040 is an abundant number, since it is smaller than the sum of its proper divisors (1402476009440).

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

1014557112040 is a wasteful number, since it uses less digits than its factorization.

1014557112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491995781 (or 1491995777 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 1014557112040 in words is "one trillion, fourteen billion, five hundred fifty-seven million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1491995753 2983991506 5967983012 7459978765 11935966024 14919957530 25363927801 29839915060 50727855602 59679830120 101455711204 126819639005 202911422408 253639278010 507278556020 1014557112040