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130413401140 = 225113541167407
BaseRepresentation
bin111100101110100111…
…1101001010000110100
3110110121201211012101011
41321131033221100310
54114041312314030
6135524443442004
712264523422331
oct1713517512064
9413551735334
10130413401140
1150342a68570
1221337226304
13c3b4728aa9
14645235b988
1535d42c2b2a
hex1e5d3e9434

130413401140 has 48 divisors (see below), whose sum is σ = 298851404544. Its totient is φ = 47409379200.

The previous prime is 130413401087. The next prime is 130413401143. The reversal of 130413401140 is 41104314031.

It is a happy number.

It is a super-3 number, since 3×1304134011403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413401143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695317 + ... + 862723.

It is an arithmetic number, because the mean of its divisors is an integer number (6226070928).

Almost surely, 2130413401140 is an apocalyptic number.

130413401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130413401140 is an abundant number, since it is smaller than the sum of its proper divisors (168438003404).

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

130413401140 is a wasteful number, since it uses less digits than its factorization.

130413401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170968 (or 170966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 130413401140 its reverse (41104314031), we get a palindrome (171517715171).

The spelling of 130413401140 in words is "one hundred thirty billion, four hundred thirteen million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3541 7082 14164 17705 35410 38951 70820 77902 155804 167407 194755 334814 389510 669628 779020 837035 1674070 1841477 3348140 3682954 7365908 9207385 18414770 36829540 592788187 1185576374 2371152748 2963940935 5927881870 6520670057 11855763740 13041340114 26082680228 32603350285 65206700570 130413401140