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3919040040 = 233573631709
BaseRepresentation
bin1110100110010111…
…1100111000101000
3101010010100212021010
43221211330320220
531011233240130
61444514343520
7166055201466
oct35145747050
911103325233
103919040040
111731217873
1291458aba0
134a5c16406
142926bb836
1517e0d20b0
hexe997ce28

3919040040 has 128 divisors (see below), whose sum is σ = 11953900800. Its totient is φ = 1027676160.

The previous prime is 3919040011. The next prime is 3919040053. The reversal of 3919040040 is 400409193.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5527206 + ... + 5527914.

It is an arithmetic number, because the mean of its divisors is an integer number (93389850).

Almost surely, 23919040040 is an apocalyptic number.

3919040040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3919040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976950400).

3919040040 is an abundant number, since it is smaller than the sum of its proper divisors (8034860760).

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

3919040040 is a wasteful number, since it uses less digits than its factorization.

3919040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3919040040 is about 62602.2367012553. The cubic root of 3919040040 is about 1576.6183134328.

The spelling of 3919040040 in words is "three billion, nine hundred nineteen million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 631 709 730 876 1095 1262 1418 1460 1752 1893 2127 2190 2524 2836 2920 3155 3545 3786 4254 4380 5048 5672 6310 7090 7572 8508 8760 9465 10635 12620 14180 15144 17016 18930 21270 25240 28360 37860 42540 46063 51757 75720 85080 92126 103514 138189 155271 184252 207028 230315 258785 276378 310542 368504 414056 447379 460630 517570 552756 621084 690945 776355 894758 921260 1035140 1105512 1242168 1342137 1381890 1552710 1789516 1842520 2070280 2236895 2684274 2763780 3105420 3579032 4473790 5368548 5527560 6210840 6710685 8947580 10737096 13421370 17895160 26842740 32658667 53685480 65317334 97976001 130634668 163293335 195952002 261269336 326586670 391904004 489880005 653173340 783808008 979760010 1306346680 1959520020 3919040040