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4181370440 = 235138041097
BaseRepresentation
bin1111100100111010…
…1010011001001000
3101210101222121220212
43321032222121020
532030412323230
61530525140252
7205422030242
oct37116523110
911711877825
104181370440
111856302555
129883ba688
135183852c0
142b9487092
1519714e895
hexf93aa648

4181370440 has 32 divisors (see below), whose sum is σ = 10131783480. Its totient is φ = 1543890432.

The previous prime is 4181370437. The next prime is 4181370449. The reversal of 4181370440 is 440731814.

4181370440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2526670756 + 1654699684 = 50266^2 + 40678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4181370397 and 4181370406.

It is not an unprimeable number, because it can be changed into a prime (4181370449) 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, 4020029 + ... + 4021068.

Almost surely, 24181370440 is an apocalyptic number.

4181370440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4181370440 is an abundant number, since it is smaller than the sum of its proper divisors (5950413040).

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

4181370440 is a wasteful number, since it uses less digits than its factorization.

4181370440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041121 (or 8041117 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4181370440 is about 64663.5170710657. The cubic root of 4181370440 is about 1611.0395970829.

The spelling of 4181370440 in words is "four billion, one hundred eighty-one million, three hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8041097 16082194 32164388 40205485 64328776 80410970 104534261 160821940 209068522 321643880 418137044 522671305 836274088 1045342610 2090685220 4181370440