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123242413440 = 273571904067
BaseRepresentation
bin111001011000111010…
…0011111110110000000
3102210002222100021120010
41302301310133312000
54004400024212230
6132341120344520
711622030141546
oct1626164376600
9383088307503
10123242413440
11482a3147353
121ba75775140
13b810b860c3
145d71c11d96
1533149809b0
hex1cb1d1fd80

123242413440 has 128 divisors (see below), whose sum is σ = 398368523520. Its totient is φ = 32401725440.

The previous prime is 123242413433. The next prime is 123242413471. The reversal of 123242413440 is 44314242321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123242413398 and 123242413407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315714 + ... + 588353.

It is an arithmetic number, because the mean of its divisors is an integer number (3112254090).

Almost surely, 2123242413440 is an apocalyptic number.

123242413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123242413440 is an abundant number, since it is smaller than the sum of its proper divisors (275126110080).

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

123242413440 is an equidigital number, since it uses as much as digits as its factorization.

123242413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904160 (or 904148 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 123242413440 its reverse (44314242321), we get a palindrome (167556655761).

The spelling of 123242413440 in words is "one hundred twenty-three billion, two hundred forty-two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 284 320 355 384 426 480 568 640 710 852 960 1065 1136 1420 1704 1920 2130 2272 2840 3408 4260 4544 5680 6816 8520 9088 11360 13632 17040 22720 27264 34080 45440 68160 136320 904067 1808134 2712201 3616268 4520335 5424402 7232536 9040670 10848804 13561005 14465072 18081340 21697608 27122010 28930144 36162680 43395216 54244020 57860288 64188757 72325360 86790432 108488040 115720576 128377514 144650720 173580864 192566271 216976080 256755028 289301440 320943785 347161728 385132542 433952160 513510056 578602880 641887570 770265084 867904320 962831355 1027020112 1283775140 1540530168 1735808640 1925662710 2054040224 2567550280 3081060336 3851325420 4108080448 5135100560 6162120672 7702650840 8216160896 10270201120 12324241344 15405301680 20540402240 24648482688 30810603360 41080804480 61621206720 123242413440