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40134402240 = 2635192200351
BaseRepresentation
bin100101011000001100…
…100110000011000000
310211121000221212201020
4211120030212003000
51124143401332430
630234255305440
72620365535032
oct453014460300
9124530855636
1040134402240
1116025907479
127940b1b280
133a27b7ca0a
141d2a395c52
15109d6d4b10
hex9583260c0

40134402240 has 112 divisors (see below), whose sum is σ = 134133457920. Its totient is φ = 10139212800.

The previous prime is 40134402223. The next prime is 40134402251. The reversal of 40134402240 is 4220443104.

It is a happy number.

It is a super-2 number, since 2×401344022402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40134402240.

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, 1081936 + ... + 1118415.

It is an arithmetic number, because the mean of its divisors is an integer number (1197620160).

Almost surely, 240134402240 is an apocalyptic number.

40134402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40134402240 is an abundant number, since it is smaller than the sum of its proper divisors (93999055680).

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

40134402240 is a wasteful number, since it uses less digits than its factorization.

40134402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200390 (or 2200380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40134402240 its reverse (4220443104), we get a palindrome (44354845344).

The spelling of 40134402240 in words is "forty billion, one hundred thirty-four million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 2200351 4400702 6601053 8801404 11001755 13202106 17602808 22003510 26404212 33005265 35205616 41806669 44007020 52808424 66010530 70411232 83613338 88014040 105616848 125420007 132021060 140822464 167226676 176028080 209033345 211233696 250840014 264042120 334453352 352056160 418066690 422467392 501680028 528084240 627100035 668906704 704112320 836133380 1003360056 1056168480 1254200070 1337813408 1672266760 2006720112 2112336960 2508400140 2675626816 3344533520 4013440224 5016800280 6689067040 8026880448 10033600560 13378134080 20067201120 40134402240