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10423203324040 = 23513611459225223
BaseRepresentation
bin1001011110101101011101…
…0101001110000010001000
31100220110002221221121120001
42113223113111032002020
52331233210022332130
634100204205012344
72124023460265333
oct227532725160210
940813087847501
1010423203324040
1133595015a9181
1212041058540b4
135a7b99a04cb0
142806b2bc961a
151311e89106ca
hex97ad754e088

10423203324040 has 128 divisors (see below), whose sum is σ = 25687968364800. Its totient is φ = 3782864747520.

The previous prime is 10423203323993. The next prime is 10423203324043. The reversal of 10423203324040 is 4042330232401.

It is not an unprimeable number, because it can be changed into a prime (10423203324043) 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, 46166869 + ... + 46392091.

It is an arithmetic number, because the mean of its divisors is an integer number (200687252850).

Almost surely, 210423203324040 is an apocalyptic number.

10423203324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10423203324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843984182400).

10423203324040 is an abundant number, since it is smaller than the sum of its proper divisors (15264765040760).

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

10423203324040 is a wasteful number, since it uses less digits than its factorization.

10423203324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226767 (or 226763 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10423203324040 its reverse (4042330232401), we get a palindrome (14465533556441).

The spelling of 10423203324040 in words is "ten trillion, four hundred twenty-three billion, two hundred three million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1459 1586 2440 2918 3172 3965 5836 6344 7295 7930 11672 14590 15860 18967 29180 31720 37934 58360 75868 88999 94835 151736 177998 189670 225223 355996 379340 444995 450446 711992 758680 889990 900892 1126115 1156987 1779980 1801784 2252230 2313974 2927899 3559960 4504460 4627948 5784935 5855798 9008920 9255896 11569870 11711596 13738603 14639495 23139740 23423192 27477206 29278990 46279480 54954412 58557980 68693015 109908824 117115960 137386030 178601839 274772060 328600357 357203678 549544120 657200714 714407356 893009195 1314401428 1428814712 1643001785 1786018390 2628802856 3286003570 3572036780 4271804641 6572007140 7144073560 8543609282 13144014280 17087218564 20044621777 21359023205 34174437128 40089243554 42718046410 80178487108 85436092820 100223108885 160356974216 170872185640 200446217770 260580083101 400892435540 521160166202 801784871080 1042320332404 1302900415505 2084640664808 2605800831010 5211601662020 10423203324040