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51440451104040 = 23352959957246539
BaseRepresentation
bin10111011001000111010011…
…10100001010110100101000
320202010122210111001001112020
423230203221310022310220
523220300020440312130
6301223230023344440
713556310221660115
oct1354435164126450
9222118714031466
1051440451104040
1115432855664579
125929606bb2120
132291a769a476b
14c9ba3428990c
155e313e1b1e10
hex2ec8e9d0ad28

51440451104040 has 128 divisors (see below), whose sum is σ = 159646089456000. Its totient is φ = 13244163365888.

The previous prime is 51440451103991. The next prime is 51440451104071. The reversal of 51440451104040 is 4040115404415.

It is a happy number.

It is a super-2 number, since 2×514404511040402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51440451103992 and 51440451104010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208527091 + ... + 208773629.

It is an arithmetic number, because the mean of its divisors is an integer number (1247235073875).

Almost surely, 251440451104040 is an apocalyptic number.

It is an amenable number.

51440451104040 is an abundant number, since it is smaller than the sum of its proper divisors (108205638351960).

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

51440451104040 is a wasteful number, since it uses less digits than its factorization.

51440451104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306539 (or 306535 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 51440451104040 its reverse (4040115404415), we get a palindrome (55480566508455).

The spelling of 51440451104040 in words is "fifty-one trillion, four hundred forty billion, four hundred fifty-one million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 59957 119914 179871 239828 246539 299785 359742 479656 493078 599570 719484 739617 899355 986156 1199140 1232695 1438968 1479234 1738753 1798710 1972312 2398280 2465390 2958468 3477506 3597420 3698085 4930780 5216259 5916936 6955012 7149631 7194840 7396170 8693765 9861560 10432518 13910024 14299262 14792340 17387530 20865036 21448893 26081295 28598524 29584680 34775060 35748155 41730072 42897786 52162590 57197048 69550120 71496310 85795572 104325180 107244465 142992620 171591144 208650360 214488930 285985240 428977860 857955720 14781738823 29563477646 44345216469 59126955292 73908694115 88690432938 118253910584 147817388230 177380865876 221726082345 295634776460 354761731752 428670425867 443452164690 591269552920 857340851734 886904329380 1286011277601 1714681703468 1773808658760 2143352129335 2572022555202 3429363406936 4286704258670 5144045110404 6430056388005 8573408517340 10288090220808 12860112776010 17146817034680 25720225552020 51440451104040