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40652233225604 = 227111359317121257
BaseRepresentation
bin10010011111001000101011…
…11010111011010110000100
312022221022112000210212000222
421033210111322323112010
520312021233201204404
6222243213401523512
711364012144015230
oct1117442572732604
9168838460725028
1040652233225604
1111a53573944110
1246868127a3598
13198b64885a550
14a078158d95c0
154a76d0510dbe
hex24f915ebb584

40652233225604 has 96 divisors (see below), whose sum is σ = 95679616386816. Its totient is φ = 14595528314880.

The previous prime is 40652233225567. The next prime is 40652233225609.

It is a happy number.

40652233225604 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×406522332256042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (40652233225609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6186257 + ... + 10935000.

It is an arithmetic number, because the mean of its divisors is an integer number (996662670696).

Almost surely, 240652233225604 is an apocalyptic number.

40652233225604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40652233225604 is an abundant number, since it is smaller than the sum of its proper divisors (55027383161212).

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

40652233225604 is a wasteful number, since it uses less digits than its factorization.

40652233225604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17121885 (or 17121883 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 40652233225604 in words is "forty trillion, six hundred fifty-two billion, two hundred thirty-three million, two hundred twenty-five thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 593 1001 1186 2002 2372 4004 4151 6523 7709 8302 13046 15418 16604 26092 30836 45661 53963 84799 91322 107926 169598 182644 215852 339196 593593 1187186 2374372 17121257 34242514 68485028 119848799 188333827 222576341 239697598 376667654 445152682 479395196 753335308 890305364 1318336789 1558034387 2448339751 2636673578 3116068774 4896679502 5273347156 6232137548 9793359004 10152905401 17138378257 20305810802 34276756514 40611621604 68553513028 71070337807 111681959411 131987770213 142140675614 223363918822 263975540426 284281351228 446727837644 527951080852 781773715877 923914391491 1451865472343 1563547431754 1847828782982 2903730944686 3127094863508 3695657565964 5807461889372 10163058306401 20326116612802 40652233225604