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2234105004240 = 243258573620681
BaseRepresentation
bin100000100000101011000…
…010010000000011010000
321220120121121201021000200
4200200223002100003100
5243100421340113430
64430200023415200
7320260130131224
oct40405302200320
97816547637020
102234105004240
1179152a0394aa
12300b992b4500
131328a1543515
147a1ba264784
153d1aa643460
hex2082b0900d0

2234105004240 has 120 divisors (see below), whose sum is σ = 7511626187208. Its totient is φ = 595065999360.

The previous prime is 2234105004223. The next prime is 2234105004251. The reversal of 2234105004240 is 424005014322.

2234105004240 is a `hidden beast` number, since 2 + 2 + 3 + 410 + 5 + 0 + 0 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 489137979456 + 1744967024784 = 699384^2 + 1320972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193301 + ... + 2427380.

Almost surely, 22234105004240 is an apocalyptic number.

2234105004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234105004240 is an abundant number, since it is smaller than the sum of its proper divisors (5277521182968).

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

2234105004240 is a wasteful number, since it uses less digits than its factorization.

2234105004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621557 (or 3621548 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 2234105004240 in words is "two trillion, two hundred thirty-four billion, one hundred five million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 857 1714 2571 3428 4285 5142 6856 7713 8570 10284 12855 13712 15426 17140 20568 25710 30852 34280 38565 41136 51420 61704 68560 77130 102840 123408 154260 205680 308520 617040 3620681 7241362 10862043 14482724 18103405 21724086 28965448 32586129 36206810 43448172 54310215 57930896 65172258 72413620 86896344 108620430 130344516 144827240 162930645 173792688 217240860 260689032 289654480 325861290 434481720 521378064 651722580 868963440 1303445160 2606890320 3102923617 6205847234 9308770851 12411694468 15514618085 18617541702 24823388936 27926312553 31029236170 37235083404 46543854255 49646777872 55852625106 62058472340 74470166808 93087708510 111705250212 124116944680 139631562765 148940333616 186175417020 223410500424 248233889360 279263125530 372350834040 446821000848 558526251060 744701668080 1117052502120 2234105004240