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1450038870252 = 22327103521107227
BaseRepresentation
bin10101000110011101000…
…011010100000011101100
312010121210200221210001200
4111012131003110003230
5142224134422322002
63030045541205500
7206522213014110
oct25063503240354
95117720853050
101450038870252
11509a5a15a115
121b503b100890
13a697973613b
145027a177740
1527abb131b1c
hex1519d0d40ec

1450038870252 has 144 divisors (see below), whose sum is σ = 4237828987392. Its totient is φ = 409483226880.

The previous prime is 1450038870223. The next prime is 1450038870257. The reversal of 1450038870252 is 2520788300541.

1450038870252 is a `hidden beast` number, since 1 + 450 + 0 + 3 + 88 + 70 + 2 + 52 = 666.

It is a super-2 number, since 2×14500388702522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1450038870198 and 1450038870207.

It is not an unprimeable number, because it can be changed into a prime (1450038870257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13469463 + ... + 13576689.

It is an arithmetic number, because the mean of its divisors is an integer number (29429367968).

Almost surely, 21450038870252 is an apocalyptic number.

1450038870252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450038870252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118914493696).

1450038870252 is an abundant number, since it is smaller than the sum of its proper divisors (2787790117140).

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

1450038870252 is a wasteful number, since it uses less digits than its factorization.

1450038870252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107868 (or 107863 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1450038870252 in words is "one trillion, four hundred fifty billion, thirty-eight million, eight hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 521 618 721 927 1042 1236 1442 1563 1854 2084 2163 2884 3126 3647 3708 4326 4689 6252 6489 7294 8652 9378 10941 12978 14588 18756 21882 25956 32823 43764 53663 65646 107227 107326 131292 160989 214454 214652 321681 321978 375641 428908 482967 643362 643956 750589 751282 965043 965934 1126923 1286724 1501178 1502564 1930086 1931868 2251767 2253846 3002356 3380769 3860172 4503534 4507692 6755301 6761538 9007068 11044381 13510602 13523076 22088762 27021204 33133143 44177524 55865267 66266286 77310667 99399429 111730534 132532572 154621334 167595801 198798858 223461068 231932001 309242668 335191602 391056869 397597716 463864002 502787403 670383204 695796003 782113738 927728004 1005574806 1173170607 1391592006 1564227476 2011149612 2346341214 2783184012 3519511821 4692682428 5754122501 7039023642 11508245002 14078047284 17262367503 23016490004 34524735006 40278857507 51787102509 69049470012 80557715014 103574205018 120836572521 161115430028 207148410036 241673145042 362509717563 483346290084 725019435126 1450038870252