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1013240001040 = 245107547216397
BaseRepresentation
bin11101011111010011100…
…11110111001000010000
310120212100102211011110221
432233221303313020100
5113100103420013130
62053250453402424
7133130013622111
oct16575163671020
93525312734427
101013240001040
11360792624713
12144458039414
13747182bb997
1437080a08208
151b553cc487a
hexebe9cf7210

1013240001040 has 80 divisors (see below), whose sum is σ = 2382157657152. Its totient is φ = 400772316672.

The previous prime is 1013240001029. The next prime is 1013240001077. The reversal of 1013240001040 is 401000423101.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4574122 + ... + 4790518.

Almost surely, 21013240001040 is an apocalyptic number.

1013240001040 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 1013240001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191078828576).

1013240001040 is an abundant number, since it is smaller than the sum of its proper divisors (1368917656112).

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

1013240001040 is a wasteful number, since it uses less digits than its factorization.

1013240001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217064 (or 217058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1013240001040 its reverse (401000423101), we get a palindrome (1414240424141).

The spelling of 1013240001040 in words is "one trillion, thirteen billion, two hundred forty million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 547 856 1070 1094 1712 2140 2188 2735 4280 4376 5470 8560 8752 10940 21880 43760 58529 117058 216397 234116 292645 432794 468232 585290 865588 936464 1081985 1170580 1731176 2163970 2341160 3462352 4327940 4682320 8655880 17311760 23154479 46308958 92617916 115772395 118369159 185235832 231544790 236738318 370471664 463089580 473476636 591845795 926179160 946953272 1183691590 1852358320 1893906544 2367383180 4734766360 9469532720 12665500013 25331000026 50662000052 63327500065 101324000104 126655000130 202648000208 253310000260 506620000520 1013240001040