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1020311431144 = 23613498217297
BaseRepresentation
bin11101101100011110100…
…11001110011111101000
310121112121020222000221121
432312033103032133220
5113204044211244034
62100420302545024
7133500161032315
oct16661723163750
93545536860847
101020311431144
11363791226825
121458b0298174
13752a4344355
1437551c39d0c
151b8199ed1b4
hexed8f4ce7e8

1020311431144 has 64 divisors (see below), whose sum is σ = 1952660178000. Its totient is φ = 499676774400.

The previous prime is 1020311431129. The next prime is 1020311431151. The reversal of 1020311431144 is 4411341130201.

It can be written as a sum of positive squares in 8 ways, for example, as 159071750244 + 861239680900 = 398838^2 + 928030^2 .

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, 139822504 + ... + 139829800.

Almost surely, 21020311431144 is an apocalyptic number.

It is an amenable number.

1020311431144 is a deficient number, since it is larger than the sum of its proper divisors (932348746856).

1020311431144 is a wasteful number, since it uses less digits than its factorization.

1020311431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1020311431144 its reverse (4411341130201), we get a palindrome (5431652561345).

The spelling of 1020311431144 in words is "one trillion, twenty billion, three hundred eleven million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 61 122 244 349 488 698 821 1396 1642 2792 3284 6568 7297 14594 21289 29188 42578 50081 58376 85156 100162 170312 200324 286529 400648 445117 573058 890234 1146116 1780468 2292232 2546653 3560936 5093306 5990837 10186612 11981674 17478269 20373224 23963348 34956538 47926696 69913076 139826152 155345833 310691666 365441057 621383332 730882114 1242766664 1461764228 2090802113 2923528456 4181604226 8363208452 16726416904 127538928893 255077857786 510155715572 1020311431144