Search a number
-
+
22142202131440 = 2451788007184997
BaseRepresentation
bin1010000100011011000100…
…00101111011001111110000
32220101202220010201002210201
411002031202011323033300
510400234212221201230
6115031553124204544
74443502260503356
oct502154205731760
986352803632721
1022142202131440
1170675009479a6
122597382839754
13c48001706941
1456798c9ad7d6
15285e820735ca
hex14236217b3f0

22142202131440 has 80 divisors (see below), whose sum is σ = 54509805738432. Its totient is φ = 8335748083712.

The previous prime is 22142202131429. The next prime is 22142202131461. The reversal of 22142202131440 is 4413120224122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22142202131399 and 22142202131408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119597022 + ... + 119782018.

Almost surely, 222142202131440 is an apocalyptic number.

22142202131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142202131440 is an abundant number, since it is smaller than the sum of its proper divisors (32367603606992).

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

22142202131440 is a wasteful number, since it uses less digits than its factorization.

22142202131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273034 (or 273028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 22142202131440 its reverse (4413120224122), we get a palindrome (26555322355562).

The spelling of 22142202131440 in words is "twenty-two trillion, one hundred forty-two billion, two hundred two million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 88007 176014 184997 352028 369994 440035 704056 739988 880070 924985 1408112 1479976 1496119 1760140 1849970 2959952 2992238 3144949 3520280 3699940 5984476 6289898 7040560 7399880 7480595 11968952 12579796 14799760 14961190 15724745 23937904 25159592 29922380 31449490 50319184 59844760 62898980 119689520 125797960 251595920 16281030979 32562061958 65124123916 81405154895 130248247832 162810309790 260496495664 276777526643 325620619580 553555053286 651241239160 1107110106572 1302482478320 1383887633215 2214220213144 2767775266430 4428440426288 5535550532860 11071101065720 22142202131440