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10042043312 = 247374721097
BaseRepresentation
bin10010101101000110…
…10110101110110000
3221220211212122201002
421112203112232300
5131031230341222
64340243501132
7503564650130
oct112643265660
927824778632
1010042043312
114293520854
121b430877a8
13c4061b082
146b3988ac0
153db915392
hex2568d6bb0

10042043312 has 120 divisors (see below), whose sum is σ = 23354424864. Its totient is φ = 4094585856.

The previous prime is 10042043279. The next prime is 10042043339. The reversal of 10042043312 is 21334024001.

10042043312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9153548 + ... + 9154644.

Almost surely, 210042043312 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 10042043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677212432).

10042043312 is an abundant number, since it is smaller than the sum of its proper divisors (13312381552).

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

10042043312 is a wasteful number, since it uses less digits than its factorization.

10042043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10042043312 its reverse (21334024001), we get a palindrome (31376067313).

The spelling of 10042043312 in words is "ten billion, forty-two million, forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 47 56 74 94 112 148 188 259 296 329 376 518 592 658 752 1036 1097 1316 1739 2072 2194 2209 2632 3478 4144 4388 4418 5264 6956 7679 8776 8836 12173 13912 15358 15463 17552 17672 24346 27824 30716 30926 35344 40589 48692 51559 61432 61852 81178 81733 97384 103118 122864 123704 162356 163466 194768 206236 247408 284123 324712 326932 360913 412472 568246 572131 649424 653864 721826 824944 1136492 1144262 1307728 1443652 1907683 2272984 2288524 2423273 2887304 3815366 4545968 4577048 4846546 5774608 7630732 9154096 9693092 13353781 15261464 16962911 19386184 26707562 30522928 33925822 38772368 53415124 67851644 89661101 106830248 135703288 179322202 213660496 271406576 358644404 627627707 717288808 1255255414 1434577616 2510510828 5021021656 10042043312