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5041225416040 = 23511531553139199
BaseRepresentation
bin100100101011100000001…
…1100110011110101101000
3122211221021200000020200221
41021113000130303311220
51130043412201303130
614415523524135424
71030134160005352
oct111270034636550
918757250006627
105041225416040
111673a76360830
12695034237574
132a7501c99678
14135dd49bc0d2
158b201ab487a
hex495c0733d68

5041225416040 has 128 divisors (see below), whose sum is σ = 12615595776000. Its totient is φ = 1797413662720.

The previous prime is 5041225416037. The next prime is 5041225416047. The reversal of 5041225416040 is 406145221405.

It is a junction number, because it is equal to n+sod(n) for n = 5041225415987 and 5041225416005.

It is not an unprimeable number, because it can be changed into a prime (5041225416047) 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, 36146361 + ... + 36285559.

It is an arithmetic number, because the mean of its divisors is an integer number (98559342000).

Almost surely, 25041225416040 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 5041225416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307797888000).

5041225416040 is an abundant number, since it is smaller than the sum of its proper divisors (7574370359960).

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

5041225416040 is a wasteful number, since it uses less digits than its factorization.

5041225416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140827 (or 140823 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

It can be divided in two parts, 50412 and 25416040, that added together give a palindrome (25466452).

The spelling of 5041225416040 in words is "five trillion, forty-one billion, two hundred twenty-five million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 1553 2120 2332 2915 3106 4664 5830 6212 7765 11660 12424 15530 17083 23320 31060 34166 62120 68332 82309 85415 136664 139199 164618 170830 278398 329236 341660 411545 556796 658472 683320 695995 823090 905399 1113592 1391990 1531189 1646180 1810798 2783980 3062378 3292360 3621596 4526995 5567960 6124756 7243192 7377547 7655945 9053990 12249512 14755094 15311890 18107980 29510188 30623780 36215960 36887735 59020376 61247560 73775470 81153017 147550940 162306034 216176047 295101880 324612068 405765085 432352094 649224136 811530170 864704188 1080880235 1623060340 1729408376 2161760470 2377936517 3246120680 4323520940 4755873034 8647041880 9511746068 11457330491 11889682585 19023492136 22914660982 23779365170 45829321964 47558730340 57286652455 91658643928 95117460680 114573304910 126030635401 229146609820 252061270802 458293219640 504122541604 630153177005 1008245083208 1260306354010 2520612708020 5041225416040