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514214646601040 = 245711140959245141
BaseRepresentation
bin111010011101011001110110…
…1010110010101010101010000
32111102200102212211221201010122
41310322303231112111111100
51014344343044012213130
65021350540354245412
7213211532206460150
oct16472635526252520
92442612784851118
10514214646601040
11139932230504810
124980a2b0886868
13190c03051a9828
1490da19bcba760
153e6ad82a292e5
hex1d3aced595550

514214646601040 has 160 divisors (see below), whose sum is σ = 1491612570328320. Its totient is φ = 160160941670400.

The previous prime is 514214646601021. The next prime is 514214646601067. The reversal of 514214646601040 is 40106646412415.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 514214646600982 and 514214646601000.

It is a congruent number.

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, 20943131 + ... + 38302010.

It is an arithmetic number, because the mean of its divisors is an integer number (9322578564552).

Almost surely, 2514214646601040 is an apocalyptic number.

It is an amenable number.

514214646601040 is an abundant number, since it is smaller than the sum of its proper divisors (977397923727280).

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

514214646601040 is a wasteful number, since it uses less digits than its factorization.

514214646601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59246581 (or 59246575 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 514214646601040 in words is "five hundred fourteen trillion, two hundred fourteen billion, six hundred forty-six million, six hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1409 1540 2818 3080 5636 6160 7045 9863 11272 14090 15499 19726 22544 28180 30998 39452 49315 56360 61996 77495 78904 98630 108493 112720 123992 154990 157808 197260 216986 247984 309980 394520 433972 542465 619960 789040 867944 1084930 1239920 1735888 2169860 4339720 8679440 59245141 118490282 236980564 296225705 414715987 473961128 592451410 651696551 829431974 947922256 1184902820 1303393102 1658863948 2073579935 2369805640 2606786204 3258482755 3317727896 4147159870 4561875857 4739611280 5213572408 6516965510 6635455792 8294319740 9123751714 10427144816 13033931020 16588639480 18247503428 22809379285 26067862040 33177278960 36495006856 45618758570 52135724080 72990013712 83476403669 91237517140 166952807338 182475034280 333905614676 364950068560 417382018345 584334825683 667811229352 834764036690 918240440359 1168669651366 1335622458704 1669528073380 1836480880718 2337339302732 2921674128415 3339056146760 3672961761436 4591202201795 4674678605464 5843348256830 6427683082513 6678112293520 7345923522872 9182404403590 9349357210928 11686696513660 12855366165026 14691847045744 18364808807180 23373393027320 25710732330052 32138415412565 36729617614360 46746786054640 51421464660104 64276830825130 73459235228720 102842929320208 128553661650260 257107323300520 514214646601040