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450002012320 = 25571938120731
BaseRepresentation
bin1101000110001100011…
…01011100100010100000
31121000112102011210000001
412203012031130202200
524333101003343240
6542421132505344
744340316664410
oct6430615344240
91530472153001
10450002012320
1116393244a323
127326891b254
1333586933c93
1417accc98640
15ba8b53989a
hex68c635c8a0

450002012320 has 96 divisors (see below), whose sum is σ = 1215126734976. Its totient is φ = 154271001600.

The previous prime is 450002012297. The next prime is 450002012329. The reversal of 450002012320 is 23210200054.

It is a super-2 number, since 2×4500020123202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450002012329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21696355 + ... + 21717085.

It is an arithmetic number, because the mean of its divisors is an integer number (12657570156).

Almost surely, 2450002012320 is an apocalyptic number.

450002012320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450002012320 is an abundant number, since it is smaller than the sum of its proper divisors (765124722656).

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

450002012320 is a wasteful number, since it uses less digits than its factorization.

450002012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40134 (or 40126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 450002012320 its reverse (23210200054), we get a palindrome (473212212374).

The spelling of 450002012320 in words is "four hundred fifty billion, two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 19381 20731 38762 41462 77524 82924 96905 103655 135667 145117 155048 165848 193810 207310 271334 290234 310096 331696 387620 414620 542668 580468 620192 663392 678335 725585 775240 829240 1085336 1160936 1356670 1451170 1550480 1658480 2170672 2321872 2713340 2902340 3100960 3316960 4341344 4643744 5426680 5804680 10853360 11609360 21706720 23218720 401787511 803575022 1607150044 2008937555 2812512577 3214300088 4017875110 5625025154 6428600176 8035750220 11250050308 12857200352 14062562885 16071500440 22500100616 28125125770 32143000880 45000201232 56250251540 64286001760 90000402464 112500503080 225001006160 450002012320