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5142350503424 = 29193141940697
BaseRepresentation
bin100101011010100101111…
…1110011001111000000000
3200012121022020200221200202
41022311023332121320000
51133223013212102144
614534210241504332
71040344145035121
oct112651376317000
920177266627622
105142350503424
111702949886712
126b07569420a8
132b3bc9901994
1413ac6922c048
158db6e98d64e
hex4ad4bf99e00

5142350503424 has 160 divisors (see below), whose sum is σ = 11191233715200. Its totient is φ = 2351590686720.

The previous prime is 5142350503361. The next prime is 5142350503439. The reversal of 5142350503424 is 4243050532415.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126336644 + ... + 126377340.

It is an arithmetic number, because the mean of its divisors is an integer number (69945210720).

Almost surely, 25142350503424 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 5142350503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595616857600).

5142350503424 is an abundant number, since it is smaller than the sum of its proper divisors (6048883211776).

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

5142350503424 is a wasteful number, since it uses less digits than its factorization.

5142350503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41184 (or 41168 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 5142350503424 in words is "five trillion, one hundred forty-two billion, three hundred fifty million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 419 496 512 589 608 838 992 1178 1216 1676 1984 2356 2432 3352 3968 4712 4864 6704 7936 7961 9424 9728 12989 13408 15872 15922 18848 25978 26816 31844 37696 40697 51956 53632 63688 75392 81394 103912 107264 127376 150784 162788 207824 214528 246791 254752 301568 325576 415648 493582 509504 651152 773243 831296 987164 1019008 1261607 1302304 1546486 1662592 1974328 2038016 2523214 2604608 3092972 3325184 3948656 4076032 5046428 5209216 6185944 6650368 7897312 10092856 10418432 12371888 15794624 17052043 20185712 20836864 23970533 24743776 31589248 34104086 40371424 47941066 49487552 63178496 68208172 80742848 95882132 98975104 126356992 136416344 161485696 191764264 197950208 272832688 322971392 323988817 383528528 395900416 528613333 545665376 645942784 647977634 767057056 1057226666 1091330752 1295955268 1534114112 2114453332 2182661504 2591910536 3068228224 4228906664 4365323008 5183821072 6136456448 8457813328 8730646016 10043653327 10367642144 12272912896 16915626656 20087306654 20735284288 33831253312 40174613308 41470568576 67662506624 80349226616 82941137152 135325013248 160698453232 165882274304 270650026496 321396906464 642793812928 1285587625856 2571175251712 5142350503424