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140310401442432 = 2731328107051571
BaseRepresentation
bin11111111001110010001111…
…101000101110001010000000
3200101210112200010022120221220
4133321302033220232022000
5121342321200232124212
61214225413015115040
741361043356023454
oct3771621750561200
9611715603276856
10140310401442432
1140786341803161
12138a1119672a80
13603a2a2454770
1426910b9a10664
151134bdee0438c
hex7f9c8fa2e280

140310401442432 has 64 divisors (see below), whose sum is σ = 401368696448160. Its totient is φ = 43172431211520.

The previous prime is 140310401442427. The next prime is 140310401442437. The reversal of 140310401442432 is 234244104013041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140310401442427) and next prime (140310401442437).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 140310401442393 and 140310401442402.

It is not an unprimeable number, because it can be changed into a prime (140310401442437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14053520794 + ... + 14053530777.

Almost surely, 2140310401442432 is an apocalyptic number.

140310401442432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140310401442432 is an abundant number, since it is smaller than the sum of its proper divisors (261058295005728).

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

140310401442432 is a wasteful number, since it uses less digits than its factorization.

140310401442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28107051601 (or 28107051589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 140310401442432 its reverse (234244104013041), we get a palindrome (374554505455473).

The spelling of 140310401442432 in words is "one hundred forty trillion, three hundred ten billion, four hundred one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 28107051571 56214103142 84321154713 112428206284 168642309426 224856412568 337284618852 365391670423 449712825136 674569237704 730783340846 899425650272 1096175011269 1349138475408 1461566681692 1798851300544 2192350022538 2698276950816 2923133363384 3597702601088 4384700045076 5396553901632 5846266726768 8769400090152 10793107803264 11692533453536 17538800180304 23385066907072 35077600360608 46770133814144 70155200721216 140310401442432