Search a number
-
+
1014253431040 = 2851137012261
BaseRepresentation
bin11101100001001100011…
…01110010100100000000
310120221222001202202002101
432300212031302210000
5113104142334243130
62053535215000144
7133164100626403
oct16604615624400
93527861682071
101014253431040
11361162690673
1214469b509054
137484a24b9c5
143713944dd3a
151b5b2c5a1ca
hexec26372900

1014253431040 has 72 divisors (see below), whose sum is σ = 2450953863288. Its totient is φ = 402111037440.

The previous prime is 1014253431007. The next prime is 1014253431053. The reversal of 1014253431040 is 401343524101.

It can be written as a sum of positive squares in 4 ways, for example, as 381655296 + 1013871775744 = 19536^2 + 1006912^2 .

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, 3361491 + ... + 3650770.

It is an arithmetic number, because the mean of its divisors is an integer number (34041025879).

Almost surely, 21014253431040 is an apocalyptic number.

1014253431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014253431040 is an abundant number, since it is smaller than the sum of its proper divisors (1436700432248).

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

1014253431040 is an equidigital number, since it uses as much as digits as its factorization.

1014253431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012395 (or 7012381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1014253431040 its reverse (401343524101), we get a palindrome (1415596955141).

The spelling of 1014253431040 in words is "one trillion, fourteen billion, two hundred fifty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 28928 36160 72320 144640 7012261 14024522 28049044 35061305 56098088 70122610 112196176 140245220 224392352 280490440 448784704 560980880 792385493 897569408 1121961760 1584770986 1795138816 2243923520 3169541972 3961927465 4487847040 6339083944 7923854930 8975694080 12678167888 15847709860 25356335776 31695419720 50712671552 63390839440 101425343104 126781678880 202850686208 253563357760 507126715520 1014253431040