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242448607830 = 235111358799613
BaseRepresentation
bin1110000111001100010…
…0000010101001010110
3212011210122211101110210
43201303010002221112
512433013320422310
6303213535030250
723342050110102
oct3416304025126
9764718741423
10242448607830
1193904a11580
123aba366b386
1319b2a778bc0
14ba3d962902
15648edd4820
hex3873102a56

242448607830 has 128 divisors (see below), whose sum is σ = 683790750720. Its totient is φ = 54239362560.

The previous prime is 242448607781. The next prime is 242448607847. The reversal of 242448607830 is 38706844242.

It is a self number, because there is not a number n which added to its sum of digits gives 242448607830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25216104 + ... + 25225716.

It is an arithmetic number, because the mean of its divisors is an integer number (5342115240).

Almost surely, 2242448607830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242448607830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341895375360).

242448607830 is an abundant number, since it is smaller than the sum of its proper divisors (441342142890).

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

242448607830 is a wasteful number, since it uses less digits than its factorization.

242448607830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526.

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 242448607830 in words is "two hundred forty-two billion, four hundred forty-eight million, six hundred seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 5879 9613 11758 17637 19226 28839 29395 35274 48065 57678 58790 64669 76427 88185 96130 105743 124969 129338 144195 152854 176370 194007 211486 229281 249938 288390 317229 323345 374907 382135 388014 458562 528715 624845 634458 646690 749814 764270 840697 970035 1057430 1146405 1249690 1374659 1586145 1681394 1874535 1940070 2292810 2522091 2749318 3172290 3749070 4123977 4203485 5044182 6873295 8247954 8406970 12610455 13746590 20619885 25220910 41239770 56514827 113029654 169544481 282574135 339088962 565148270 621663097 734692751 847722405 1243326194 1469385502 1695444810 1864989291 2204078253 3108315485 3673463755 3729978582 4408156506 6216630970 7346927510 8081620261 9324946455 11020391265 16163240522 18649892910 22040782530 24244860783 40408101305 48489721566 80816202610 121224303915 242448607830