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31410003432040 = 23517311933804709
BaseRepresentation
bin1110010010001001101100…
…00110001101001001101000
311010012202201010220112221221
413021010312012031021220
513104110141334311130
6150445320102111424
76421204110664162
oct711046606151150
9133182633815857
1031410003432040
11a00a9a9097952
12363357671b574
13146ac4866577c
147a837636d932
153970a627387a
hex1c913618d268

31410003432040 has 64 divisors (see below), whose sum is σ = 71140619768400. Its totient is φ = 12480903247872.

The previous prime is 31410003432037. The next prime is 31410003432047. The reversal of 31410003432040 is 4023430001413.

It can be written as a sum of positive squares in 8 ways, for example, as 29622482563716 + 1787520868324 = 5442654^2 + 1336982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31410003431996 and 31410003432014.

It is not an unprimeable number, because it can be changed into a prime (31410003432047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6353206 + ... + 10157914.

Almost surely, 231410003432040 is an apocalyptic number.

It is an amenable number.

31410003432040 is an abundant number, since it is smaller than the sum of its proper divisors (39730616336360).

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

31410003432040 is a wasteful number, since it uses less digits than its factorization.

31410003432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806086 (or 3806082 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 31410003432040 its reverse (4023430001413), we get a palindrome (35433433433453).

The spelling of 31410003432040 in words is "thirty-one trillion, four hundred ten billion, three million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1193 1384 1730 2386 3460 4772 5965 6920 9544 11930 23860 47720 206389 412778 825556 1031945 1651112 2063890 3804709 4127780 7609418 8255560 15218836 19023545 30437672 38047090 76094180 152188360 658214657 1316429314 2632858628 3291073285 4539017837 5265717256 6582146570 9078035674 13164293140 18156071348 22695089185 26328586280 36312142696 45390178370 90780356740 181560713480 785250085801 1570500171602 3141000343204 3926250429005 6282000686408 7852500858010 15705001716020 31410003432040