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23142302040 = 233511131348619
BaseRepresentation
bin10101100011011000…
…111000000101011000
32012201211022202021210
4111203120320011120
5334343412131130
614344215503120
71446326215224
oct254330700530
965654282253
1023142302040
1198a6254060
12459a387aa0
13224a6c4260
141197771784
15906a6d5b0
hex563638158

23142302040 has 128 divisors (see below), whose sum is σ = 81564537600. Its totient is φ = 5178693120.

The previous prime is 23142302033. The next prime is 23142302059. The reversal of 23142302040 is 4020324132.

It is a super-2 number, since 2×231423020402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23142301998 and 23142302016.

It is a congruent number.

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, 657150 + ... + 691469.

It is an arithmetic number, because the mean of its divisors is an integer number (637222950).

Almost surely, 223142302040 is an apocalyptic number.

23142302040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142302040 is an abundant number, since it is smaller than the sum of its proper divisors (58422235560).

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

23142302040 is a wasteful number, since it uses less digits than its factorization.

23142302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348657 (or 1348653 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23142302040 its reverse (4020324132), we get a palindrome (27162626172).

The spelling of 23142302040 in words is "twenty-three billion, one hundred forty-two million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 1348619 2697238 4045857 5394476 6743095 8091714 10788952 13486190 14834809 16183428 17532047 20229285 26972380 29669618 32366856 35064094 40458570 44504427 52596141 53944760 59339236 70128188 74174045 80917140 87660235 89008854 105192282 118678472 140256376 148348090 161834280 175320470 178017708 192852517 210384564 222522135 262980705 296696180 350640940 356035416 385705034 420769128 445044270 525961410 578557551 593392360 701281880 771410068 890088540 964262585 1051922820 1157115102 1542820136 1780177080 1928525170 2103845640 2314230204 2892787755 3857050340 4628460408 5785575510 7714100680 11571151020 23142302040