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2401940140 = 2252331179941
BaseRepresentation
bin1000111100101010…
…1011001010101100
320012101200012102221
42033022223022230
514404344041030
61034201525124
7113344103635
oct21712531254
96171605387
102401940140
1110229181a6
125704a37a4
132c3817a72
1418b00688c
15e0d0ae7a
hex8f2ab2ac

2401940140 has 96 divisors (see below), whose sum is σ = 5469327360. Its totient is φ = 883449600.

The previous prime is 2401940113. The next prime is 2401940159. The reversal of 2401940140 is 410491042.

2401940140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24019401402 = 11538632872286439200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2552070 + ... + 2553010.

It is an arithmetic number, because the mean of its divisors is an integer number (56972160).

Almost surely, 22401940140 is an apocalyptic number.

2401940140 is a gapful number since it is divisible by the number (20) 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 2401940140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734663680).

2401940140 is an abundant number, since it is smaller than the sum of its proper divisors (3067387220).

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

2401940140 is a wasteful number, since it uses less digits than its factorization.

2401940140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2401940140 is about 49009.5923264008. The cubic root of 2401940140 is about 1339.2265790040.

The spelling of 2401940140 in words is "two billion, four hundred one million, nine hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 179 230 310 358 460 620 713 716 895 941 1426 1790 1882 2852 3565 3580 3764 4117 4705 5549 7130 8234 9410 11098 14260 16468 18820 20585 21643 22196 27745 29171 41170 43286 55490 58342 82340 86572 108215 110980 116684 127627 145855 168439 216430 255254 291710 336878 432860 510508 583420 638135 670933 673756 842195 1276270 1341866 1684390 2552540 2683732 3354665 3368780 3874097 5221609 6709330 7748194 10443218 13418660 15496388 19370485 20886436 26108045 38740970 52216090 77481940 104432180 120097007 240194014 480388028 600485035 1200970070 2401940140