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31434142440 = 23352231174669
BaseRepresentation
bin11101010001100111…
…101111001011101000
310000010200212212221210
4131101213233023220
51003334120024230
622235102433120
72161652542101
oct352147571350
9100120785853
1031434142440
1112370832518
1261132927a0
132c6c5391ac
141742ac73a8
15c3e9b4eb0
hex7519ef2e8

31434142440 has 64 divisors (see below), whose sum is σ = 94725388800. Its totient is φ = 8344841472.

The previous prime is 31434142367. The next prime is 31434142459. The reversal of 31434142440 is 4424143413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31434142398 and 31434142407.

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, 560575 + ... + 614094.

It is an arithmetic number, because the mean of its divisors is an integer number (1480084200).

Almost surely, 231434142440 is an apocalyptic number.

31434142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434142440 is an abundant number, since it is smaller than the sum of its proper divisors (63291246360).

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

31434142440 is a wasteful number, since it uses less digits than its factorization.

31434142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174906 (or 1174902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31434142440 its reverse (4424143413), we get a palindrome (35858285853).

The spelling of 31434142440 in words is "thirty-one billion, four hundred thirty-four million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8920 13380 26760 1174669 2349338 3524007 4698676 5873345 7048014 9397352 11746690 14096028 17620035 23493380 28192056 35240070 46986760 70480140 140960280 261951187 523902374 785853561 1047804748 1309755935 1571707122 2095609496 2619511870 3143414244 3929267805 5239023740 6286828488 7858535610 10478047480 15717071220 31434142440