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40519115780 = 225111315790239
BaseRepresentation
bin100101101111001000…
…001010010000000100
310212120211212100110212
4211233020022100010
51130440343201110
630340401134552
72633046541613
oct455710122004
9125524770425
1040519115780
1116202a91450
127a2992a458
133a8979b470
141d654db87a
1510c2378e05
hex96f20a404

40519115780 has 96 divisors (see below), whose sum is σ = 100603883520. Its totient is φ = 13514042880.

The previous prime is 40519115773. The next prime is 40519115803. The reversal of 40519115780 is 8751191504.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403901 + ... + 494139.

It is an arithmetic number, because the mean of its divisors is an integer number (1047957120).

Almost surely, 240519115780 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 40519115780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50301941760).

40519115780 is an abundant number, since it is smaller than the sum of its proper divisors (60084767740).

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

40519115780 is a wasteful number, since it uses less digits than its factorization.

40519115780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90429 (or 90427 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 41.

The spelling of 40519115780 in words is "forty billion, five hundred nineteen million, one hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 157 220 260 286 314 572 628 715 785 1430 1570 1727 2041 2860 3140 3454 4082 6908 8164 8635 10205 17270 20410 22451 34540 40820 44902 89804 90239 112255 180478 224510 360956 449020 451195 902390 992629 1173107 1804780 1985258 2346214 3970516 4692428 4963145 5865535 9926290 11731070 12904177 14167523 19852580 23462140 25808354 28335046 51616708 56670092 64520885 70837615 129041770 141675230 155842753 184177799 258083540 283350460 311685506 368355598 623371012 736711196 779213765 920888995 1558427530 1841777990 2025955789 3116855060 3683555980 4051911578 8103823156 10129778945 20259557890 40519115780