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30140100432 = 24331329185063
BaseRepresentation
bin11100000100011111…
…010110111101010000
32212210111220202001000
4130010133112331100
5443211331203212
621502434542000
72114620424631
oct340437267520
985714822030
1030140100432
1111867334612
125a11a37900
132ac4409070
14165ccb7888
15bb60a01dc
hex7047d6f50

30140100432 has 160 divisors (see below), whose sum is σ = 96381331200. Its totient is φ = 8954039808.

The previous prime is 30140100317. The next prime is 30140100457. The reversal of 30140100432 is 23400104103.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 70333 + ... + 255395.

It is an arithmetic number, because the mean of its divisors is an integer number (602383320).

Almost surely, 230140100432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30140100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190665600).

30140100432 is an abundant number, since it is smaller than the sum of its proper divisors (66241230768).

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

30140100432 is a wasteful number, since it uses less digits than its factorization.

30140100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185122 (or 185110 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30140100432 its reverse (23400104103), we get a palindrome (53540204535).

The spelling of 30140100432 in words is "thirty billion, one hundred forty million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 81432 162864 185063 370126 555189 740252 1110378 1480504 1665567 2220756 2405819 2961008 3331134 4441512 4811638 4996701 5366827 6662268 7217457 8883024 9623276 9993402 10733654 13324536 14434914 16100481 19246552 19986804 21467308 21652371 26649072 28869828 32200962 38493104 39973608 42934616 43304742 48301443 57739656 64401924 64957113 69768751 79947216 85869232 86609484 96602886 115479312 128803848 129914226 139537502 144904329 173218968 193205772 209306253 257607696 259828452 279075004 289808658 346437936 386411544 418612506 519656904 558150008 579617316 627918759 772823088 837225012 1039313808 1116300016 1159234632 1255837518 1674450024 1883756277 2318469264 2511675036 3348900048 3767512554 5023350072 7535025108 10046700144 15070050216 30140100432