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2250014421432 = 2331779648110771
BaseRepresentation
bin100000101111011111010…
…011110111000110111000
321222002200101002101120110
4200233133103313012320
5243331012142441212
64441350425424320
7321362312010561
oct40573723670670
97862611071513
102250014421432
11798253535078
1230409933b0a0
1313423860244b
147ac89177168
153d7dc1e4a3c
hex20bdf4f71b8

2250014421432 has 128 divisors (see below), whose sum is σ = 6032802585600. Its totient is φ = 696779366400.

The previous prime is 2250014421401. The next prime is 2250014421433. The reversal of 2250014421432 is 2341244100522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2250014421432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250014421433) 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, 208890207 + ... + 208900977.

It is an arithmetic number, because the mean of its divisors is an integer number (47131270200).

Almost surely, 22250014421432 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 2250014421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016401292800).

2250014421432 is an abundant number, since it is smaller than the sum of its proper divisors (3782788164168).

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

2250014421432 is a wasteful number, since it uses less digits than its factorization.

2250014421432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2250014421432 its reverse (2341244100522), we get a palindrome (4591258521954).

The spelling of 2250014421432 in words is "two trillion, two hundred fifty billion, fourteen million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 5372 6481 8058 10744 10771 12962 16116 19443 21542 25924 32232 32313 38886 43084 51848 64626 77772 86168 110177 129252 155544 183107 220354 258504 330531 366214 440708 511999 549321 661062 732428 850909 881416 1023998 1098642 1322124 1464856 1535997 1701818 2047996 2197284 2552727 2644248 3071994 3403636 4095992 4394568 5105454 6143988 6807272 8703983 10210908 12287976 14465453 17407966 20421816 26111949 28930906 34815932 43396359 52223898 57861812 69631864 69806851 86792718 104447796 115723624 139613702 173585436 208895592 209420553 279227404 347170872 418841106 558454808 837682212 1186716467 1675364424 2373432934 3560149401 4746865868 5514741229 7120298802 9493731736 11029482458 14240597604 16544223687 22058964916 28481195208 33088447374 44117929832 66176894748 93750600893 132353789496 187501201786 281251802679 375002403572 562503605358 750004807144 1125007210716 2250014421432