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12401542040 = 2352316382699
BaseRepresentation
bin10111000110011000…
…01000001110011000
31012000021200121110212
423203030020032120
5200344243321130
65410332030252
7616215240146
oct134314101630
935007617425
1012401542040
1152943900a8
1224a1302388
1312283c5c74
148590a4596
154c8b3ae95
hex2e3308398

12401542040 has 64 divisors (see below), whose sum is σ = 29295648000. Its totient is φ = 4715770752.

The previous prime is 12401542019. The next prime is 12401542099. The reversal of 12401542040 is 4024510421.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12401541997 and 12401542015.

It is a congruent number.

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, 108611 + ... + 191309.

It is an arithmetic number, because the mean of its divisors is an integer number (457744500).

Almost surely, 212401542040 is an apocalyptic number.

12401542040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647824000).

12401542040 is an abundant number, since it is smaller than the sum of its proper divisors (16894105960).

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

12401542040 is a wasteful number, since it uses less digits than its factorization.

12401542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82896 (or 82892 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 12401542040 in words is "twelve billion, four hundred one million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 163 184 230 326 460 652 815 920 1304 1630 3260 3749 6520 7498 14996 18745 29992 37490 74980 82699 149960 165398 330796 413495 661592 826990 1653980 1902077 3307960 3804154 7608308 9510385 13479937 15216616 19020770 26959874 38041540 53919748 67399685 76083080 107839496 134799370 269598740 310038551 539197480 620077102 1240154204 1550192755 2480308408 3100385510 6200771020 12401542040