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212890138440 = 233571714908273
BaseRepresentation
bin1100011001000100111…
…1011011011101001000
3202100111200100120020020
43012101033123131020
511441444333412230
6241444514300440
721244421214360
oct3062117333510
9670450316206
10212890138440
1182316a29a81
1235314587720
13170c9a06825
14a43800d9a0
15580ee24810
hex31913db748

212890138440 has 128 divisors (see below), whose sum is σ = 772844924160. Its totient is φ = 45798211584.

The previous prime is 212890138421. The next prime is 212890138469. The reversal of 212890138440 is 44831098212.

212890138440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2128901384402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 212890138392 and 212890138401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7439857 + ... + 7468416.

It is an arithmetic number, because the mean of its divisors is an integer number (6037850970).

Almost surely, 2212890138440 is an apocalyptic number.

212890138440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212890138440 is an abundant number, since it is smaller than the sum of its proper divisors (559954785720).

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

212890138440 is a wasteful number, since it uses less digits than its factorization.

212890138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908311 (or 14908307 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 212890138440 in words is "two hundred twelve billion, eight hundred ninety million, one hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 14908273 29816546 44724819 59633092 74541365 89449638 104357911 119266184 149082730 178899276 208715822 223624095 253440641 298165460 313073733 357798552 417431644 447248190 506881282 521789555 596330920 626147466 760321923 834863288 894496380 1013762564 1043579110 1252294932 1267203205 1520643846 1565368665 1774084487 1788992760 2027525128 2087158220 2504589864 2534406410 3041287692 3130737330 3548168974 3801609615 4174316440 5068812820 5322253461 6082575384 6261474660 7096337948 7603219230 8870422435 10137625640 10644506922 12522949320 14192675896 15206438460 17740844870 21289013844 26611267305 30412876920 35481689740 42578027688 53222534610 70963379480 106445069220 212890138440