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20214113240240 = 24517314327110807
BaseRepresentation
bin1001001100010011101110…
…00010100000010010110000
32122120110011022022002010122
410212021313002200102300
510122142000442141430
6110554122503545412
74154264366362613
oct446116702402260
978513138262118
1020214113240240
116493836a41547
12232576975b268
13b3824b50cc2a
144dc52289217a
15250c3735aee5
hex1262770a04b0

20214113240240 has 160 divisors (see below), whose sum is σ = 51379964043264. Its totient is φ = 7362766172160.

The previous prime is 20214113240201. The next prime is 20214113240273. The reversal of 20214113240240 is 4204231141202.

It is a super-2 number, since 2×202141132402402 (a number of 27 digits) contains 22 as substring.

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, 182370917 + ... + 182481723.

Almost surely, 220214113240240 is an apocalyptic number.

20214113240240 is a gapful number since it is divisible by the number (20) 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 20214113240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25689982021632).

20214113240240 is an abundant number, since it is smaller than the sum of its proper divisors (31165850803024).

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

20214113240240 is a wasteful number, since it uses less digits than its factorization.

20214113240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115195 (or 115189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 20214113240240 its reverse (4204231141202), we get a palindrome (24418344381442).

The spelling of 20214113240240 in words is "twenty trillion, two hundred fourteen billion, one hundred thirteen million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 4327 5270 8432 8654 10540 17308 21080 21635 34616 42160 43270 69232 73559 86540 110807 134137 147118 173080 221614 268274 294236 346160 367795 443228 536548 554035 588472 670685 735590 886456 1073096 1108070 1176944 1341370 1471180 1772912 1883719 2146192 2216140 2280329 2682740 2942360 3435017 3767438 4432280 4560658 5365480 5884720 6870034 7534876 8864560 9121316 9418595 10730960 11401645 13740068 15069752 17175085 18242632 18837190 22803290 27480136 30139504 34350170 36485264 37674380 45606580 54960272 58395289 68700340 75348760 91213160 116790578 137400680 150697520 182426320 233581156 274801360 291976445 467162312 479461889 583952890 934324624 958923778 1167905780 1917847556 2335811560 2397309445 3835695112 4671623120 4794618890 7671390224 8150852113 9589237780 14863318559 16301704226 19178475560 29726637118 32603408452 38356951120 40754260565 59453274236 65206816904 74316592795 81508521130 118906548472 130413633808 148633185590 163017042260 237813096944 252676415503 297266371180 326034084520 505352831006 594532742360 652068169040 1010705662012 1189065484720 1263382077515 2021411324024 2526764155030 4042822648048 5053528310060 10107056620120 20214113240240