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31430140040 = 23513212133833
BaseRepresentation
bin11101010001011000…
…011110000010001000
310000010102100112200202
4131101120132002020
51003332103440130
622234440551332
72161603532225
oct352130360210
9100112315622
1031430140040
1112369549452
126111a82548
132c6b767500
14174236494c
15c3e474145
hex75161e088

31430140040 has 96 divisors (see below), whose sum is σ = 76659219720. Its totient is φ = 11592382464.

The previous prime is 31430140019. The next prime is 31430140087. The reversal of 31430140040 is 4004103413.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7499906404 + 23930233636 = 86602^2 + 154694^2 .

It is a super-2 number, since 2×314301400402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31430139994 and 31430140021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8197964 + ... + 8201796.

Almost surely, 231430140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329609860).

31430140040 is an abundant number, since it is smaller than the sum of its proper divisors (45229079680).

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

31430140040 is a wasteful number, since it uses less digits than its factorization.

31430140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31430140040 its reverse (4004103413), we get a palindrome (35434243453).

The spelling of 31430140040 in words is "thirty-one billion, four hundred thirty million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1213 1352 1690 2426 3380 3833 4852 6065 6760 7666 9704 12130 15332 15769 19165 24260 30664 31538 38330 48520 49829 63076 76660 78845 99658 126152 153320 157690 199316 204997 249145 315380 398632 409994 498290 630760 647777 819988 996580 1024985 1295554 1639976 1993160 2049970 2591108 3238885 4099940 4649429 5182216 6477770 8199880 9298858 12955540 18597716 23247145 25911080 37195432 46494290 60442577 92988580 120885154 185977160 241770308 302212885 483540616 604425770 785753501 1208851540 1571507002 2417703080 3143014004 3928767505 6286028008 7857535010 15715070020 31430140040