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23413344240 = 24351113682207
BaseRepresentation
bin10101110011100010…
…110100011111110000
32020102201100010021210
4111303202310133300
5340422304003430
614431141120120
71456130066556
oct256342643760
966381303253
1023413344240
119a2524a080
1246550b9040
1322918c3560
1411c1767bd6
1592075c2b0
hex5738b47f0

23413344240 has 160 divisors (see below), whose sum is σ = 85270542336. Its totient is φ = 5239342080.

The previous prime is 23413344221. The next prime is 23413344307. The reversal of 23413344240 is 4244331432.

It is a happy number.

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 = 23413344198 and 23413344207.

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 31 ways as a sum of consecutive naturals, for example, 306784 + ... + 375423.

Almost surely, 223413344240 is an apocalyptic number.

23413344240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23413344240 is an abundant number, since it is smaller than the sum of its proper divisors (61857198096).

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

23413344240 is a wasteful number, since it uses less digits than its factorization.

23413344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682247 (or 682241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23413344240 its reverse (4244331432), we get a palindrome (27657675672).

It can be divided in two parts, 23413 and 344240, that added together give a triangular number (367653 = T857).

The spelling of 23413344240 in words is "twenty-three billion, four hundred thirteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 682207 1364414 2046621 2728828 3411035 4093242 5457656 6822070 7504277 8186484 8868691 10233105 10915312 13644140 15008554 16372968 17737382 20466210 22512831 26606073 27288280 30017108 32745936 35474764 37521385 40932420 44343455 45025662 53212146 54576560 60034216 70949528 75042770 81864840 88686910 90051324 97555601 106424292 112564155 120068432 133030365 141899056 150085540 163729680 177373820 180102648 195111202 212848584 225128310 266060730 292666803 300171080 354747640 360205296 390222404 425697168 450256620 487778005 532121460 585333606 600342160 709495280 780444808 900513240 975556010 1064242920 1170667212 1463334015 1560889616 1801026480 1951112020 2128485840 2341334424 2926668030 3902224040 4682668848 5853336060 7804448080 11706672120 23413344240