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10022034040440 = 233543245168713
BaseRepresentation
bin1001000111010110111111…
…0001110110011001111000
31022111002121210011111000020
42101311233301312121320
52303200111203243230
633152020415010440
72053032226530252
oct221655761663170
938432553144006
1010022034040440
113214358a3a7a4
12115a406b09a20
135790c6068586
142690d7610cd2
15125a69547810
hex91d6fc76678

10022034040440 has 96 divisors (see below), whose sum is σ = 30781575216720. Its totient is φ = 2610390203904.

The previous prime is 10022034040393. The next prime is 10022034040453. The reversal of 10022034040440 is 4404043022001.

It is a happy number.

It is a super-2 number, since 2×100220340404402 (a number of 27 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 10022034040440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22362477 + ... + 22806236.

Almost surely, 210022034040440 is an apocalyptic number.

10022034040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022034040440 is an abundant number, since it is smaller than the sum of its proper divisors (20759541176280).

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

10022034040440 is a wasteful number, since it uses less digits than its factorization.

10022034040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45168813 (or 45168766 counting only the distinct ones).

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

Adding to 10022034040440 its reverse (4404043022001), we get a palindrome (14426077062441).

The spelling of 10022034040440 in words is "ten trillion, twenty-two billion, thirty-four million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 1849 2580 3698 5160 5547 7396 9245 11094 14792 18490 22188 27735 36980 44376 55470 73960 110940 221880 45168713 90337426 135506139 180674852 225843565 271012278 361349704 451687130 542024556 677530695 903374260 1084049112 1355061390 1806748520 1942254659 2710122780 3884509318 5420245560 5826763977 7769018636 9711273295 11653527954 15538037272 19422546590 23307055908 29133819885 38845093180 46614111816 58267639770 77690186360 83516950337 116535279540 167033900674 233070559080 250550851011 334067801348 417584751685 501101702022 668135602696 835169503370 1002203404044 1252754255055 1670339006740 2004406808088 2505508510110 3340678013480 5011017020220 10022034040440