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8414404063240 = 2357479208330119
BaseRepresentation
bin111101001110010000110…
…0100001011000000001000
31002210102001021201222222211
41322130201210023000020
52100330144420010430
625521305053154504
71525630530302560
oct172344144130010
932712037658884
108414404063240
11275458a80452a
12b3a926a8ba34
13490623476236
1421138b859da0
15e8d281a972a
hex7a72190b008

8414404063240 has 128 divisors (see below), whose sum is σ = 21693339648000. Its totient is φ = 2877438060288.

The previous prime is 8414404063217. The next prime is 8414404063297. The reversal of 8414404063240 is 423604044148.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8414404063193 and 8414404063202.

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, 279356901 + ... + 279387019.

It is an arithmetic number, because the mean of its divisors is an integer number (169479216000).

Almost surely, 28414404063240 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 8414404063240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846669824000).

8414404063240 is an abundant number, since it is smaller than the sum of its proper divisors (13278935584760).

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

8414404063240 is a wasteful number, since it uses less digits than its factorization.

8414404063240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32699 (or 32695 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 8414404063240 in words is "eight trillion, four hundred fourteen billion, four hundred four million, sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 479 958 1916 2083 2395 3353 3832 4166 4790 6706 8332 9580 10415 13412 14581 16664 16765 19160 20830 26824 29162 30119 33530 41660 58324 60238 67060 72905 83320 116648 120476 134120 145810 150595 210833 240952 291620 301190 421666 583240 602380 843332 997757 1054165 1204760 1686664 1995514 2108330 3991028 4216660 4988785 6984299 7982056 8433320 9977570 13968598 14427001 19955140 27937196 28854002 34921495 39910280 55874392 57708004 62737877 69842990 72135005 100989007 115416008 125475754 139685980 144270010 201978014 250951508 279371960 288540020 313689385 403956028 439165139 501903016 504945035 577080040 627378770 807912056 878330278 1009890070 1254757540 1756660556 2019780140 2195825695 2509515080 3513321112 4039560280 4391651390 8783302780 17566605560 30051443083 60102886166 120205772332 150257215415 210360101581 240411544664 300514430830 420720203162 601028861660 841440406324 1051800507905 1202057723320 1682880812648 2103601015810 4207202031620 8414404063240