Search a number
-
+
29719844744940 = 22325758614024429
BaseRepresentation
bin1101100000111101100001…
…10010011110111011101100
310220020012010002011020002100
412300132300302132323230
512343412220223314230
6143113035211455100
76155121313123020
oct660366062367354
9126205102136070
1029719844744940
11951912a622409
1233bbaa3a57490
131377752a9948c
1474a63ba78380
15368134919660
hex1b07b0c9eeec

29719844744940 has 144 divisors (see below), whose sum is σ = 103046399426880. Its totient is φ = 6791946647040.

The previous prime is 29719844744927. The next prime is 29719844745029. The reversal of 29719844744940 is 4944744891792.

It is a happy number.

29719844744940 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 98 + 4 + 47 + 4 + 494 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5372646 + ... + 9397074.

It is an arithmetic number, because the mean of its divisors is an integer number (715599996020).

Almost surely, 229719844744940 is an apocalyptic number.

29719844744940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29719844744940 is an abundant number, since it is smaller than the sum of its proper divisors (73326554681940).

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

29719844744940 is a wasteful number, since it uses less digits than its factorization.

29719844744940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030312 (or 4030307 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 29719844744940 in words is "twenty-nine trillion, seven hundred nineteen billion, eight hundred forty-four million, seven hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5861 11722 17583 23444 29305 35166 41027 52749 58610 70332 82054 87915 105498 117220 123081 164108 175830 205135 210996 246162 263745 351660 369243 410270 492324 527490 615405 738486 820540 1054980 1230810 1476972 1846215 2461620 3692430 4024429 7384860 8048858 12073287 16097716 20122145 24146574 28171003 36219861 40244290 48293148 56342006 60366435 72439722 80488580 84513009 112684012 120732870 140855015 144879444 169026018 181099305 241465740 253539027 281710030 338052036 362198610 422565045 507078054 563420060 724397220 845130090 1014156108 1267695135 1690260180 2535390270 5070780540 23587178369 47174356738 70761535107 94348713476 117935891845 141523070214 165110248583 212284605321 235871783690 283046140428 330220497166 353807675535 424569210642 471743567380 495330745749 660440994332 707615351070 825551242915 849138421284 990661491498 1061423026605 1415230702140 1485992237247 1651102485830 1981322982996 2122846053210 2476653728745 2971984474494 3302204971660 4245692106420 4953307457490 5943968948988 7429961186235 9906614914980 14859922372470 29719844744940