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1019400999024 = 243372412381689
BaseRepresentation
bin11101101010110010000…
…10001101000001110000
310121110020210211021212110
432311121002031001300
5113200213123432044
62100150101125320
7133435464344262
oct16653102150160
93543223737773
101019400999024
11363364319691
121456973b9840
137518a837515
14374a6d65b32
151b7b4b106b9
hexed5908d070

1019400999024 has 80 divisors (see below), whose sum is σ = 2715850633760. Its totient is φ = 329244549120.

The previous prime is 1019400999013. The next prime is 1019400999077. The reversal of 1019400999024 is 4209990049101.

It is a happy number.

It is a super-2 number, since 2×10194009990242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762829 + ... + 1618860.

It is an arithmetic number, because the mean of its divisors is an integer number (33948132922).

Almost surely, 21019400999024 is an apocalyptic number.

It is an amenable number.

1019400999024 is an abundant number, since it is smaller than the sum of its proper divisors (1696449634736).

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

1019400999024 is a wasteful number, since it uses less digits than its factorization.

1019400999024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381978 (or 2381972 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 1019400999024 in words is "one trillion, nineteen billion, four hundred million, nine hundred ninety-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 241 296 444 482 592 723 888 964 1446 1776 1928 2892 3856 5784 8917 11568 17834 26751 35668 53502 71336 107004 142672 214008 428016 2381689 4763378 7145067 9526756 14290134 19053512 28580268 38107024 57160536 88122493 114321072 176244986 264367479 352489972 528734958 573987049 704979944 1057469916 1147974098 1409959888 1721961147 2114939832 2295948196 3443922294 4229879664 4591896392 6887844588 9183792784 13775689176 21237520813 27551378352 42475041626 63712562439 84950083252 127425124878 169900166504 254850249756 339800333008 509700499512 1019400999024