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31435412040 = 2333529106863
BaseRepresentation
bin11101010001101100…
…100101001001001000
310000010210021101112000
4131101230211021020
51003334431141130
622235145551000
72161666410414
oct352154451110
9100123241460
1031435412040
111237151a37a
1261137a5460
132c6c892036
141742d37d44
15c3eb66260
hex751b25248

31435412040 has 64 divisors (see below), whose sum is σ = 104784710400. Its totient is φ = 8382776256.

The previous prime is 31435412017. The next prime is 31435412051. The reversal of 31435412040 is 4021453413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31435411995 and 31435412013.

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, 14552352 + ... + 14554511.

It is an arithmetic number, because the mean of its divisors is an integer number (1637261100).

Almost surely, 231435412040 is an apocalyptic number.

31435412040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31435412040 is an abundant number, since it is smaller than the sum of its proper divisors (73349298360).

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

31435412040 is a wasteful number, since it uses less digits than its factorization.

31435412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106883 (or 29106873 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31435412040 its reverse (4021453413), we get a palindrome (35456865453).

The spelling of 31435412040 in words is "thirty-one billion, four hundred thirty-five million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 29106863 58213726 87320589 116427452 145534315 174641178 232854904 261961767 291068630 349282356 436602945 523923534 582137260 698564712 785885301 873205890 1047847068 1164274520 1309808835 1571770602 1746411780 2095694136 2619617670 3143541204 3492823560 3929426505 5239235340 6287082408 7858853010 10478470680 15717706020 31435412040