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22311434041214 = 2172343897879473
BaseRepresentation
bin1010001001010110010010…
…00110011011011101111110
32220222221201012101212012212
411010223021012123131332
510411022304103304324
6115241421543300422
74461643064136413
oct504531106333576
986887635355185
1022311434041214
11712225394955a
12260413214a712
13c5ac614a1166
14571c4462610a
1528a58924b70e
hex144ac919b77e

22311434041214 has 128 divisors (see below), whose sum is σ = 38314202065920. Its totient is φ = 9685875032064.

The previous prime is 22311434041201. The next prime is 22311434041229. The reversal of 22311434041214 is 41214043411322.

It is a super-3 number, since 3×223114340412143 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355261182 + ... + 2355270654.

It is an arithmetic number, because the mean of its divisors is an integer number (299329703640).

Almost surely, 222311434041214 is an apocalyptic number.

22311434041214 is a deficient number, since it is larger than the sum of its proper divisors (16002768024706).

22311434041214 is a wasteful number, since it uses less digits than its factorization.

22311434041214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 22311434041214 its reverse (41214043411322), we get a palindrome (63525477452536).

The spelling of 22311434041214 in words is "twenty-two trillion, three hundred eleven billion, four hundred thirty-four million, forty-one thousand, two hundred fourteen".

Divisors: 1 2 17 23 34 43 46 86 89 178 391 731 782 787 989 1462 1513 1574 1978 2047 3026 3827 4094 7654 9473 13379 16813 18101 18946 26758 33626 33841 34799 36202 65059 67682 69598 70043 88021 130118 140086 161041 176042 217879 307717 322082 407339 435758 575297 615434 778343 814678 843097 1150594 1190731 1496357 1556686 1610989 1686194 2381462 2992714 3011849 3221978 3703943 6023698 6924763 7407886 7455251 9368797 13231831 13849526 14332649 14910502 18737594 19391231 26463662 27386813 28665298 36253171 38782462 51201433 54773626 69272527 72506342 102402866 126739267 138545054 159269549 171470773 253478534 318539098 320575793 329650927 342941546 616303907 641151586 659301854 663517339 833822933 1177632959 1232607814 1327034678 1667645866 2355265918 2915003141 5449788481 5830006282 7373243239 10899576962 11279794763 14174989861 14746486478 15260898797 22559589526 28349979722 28531245577 30521797594 57062491154 125345135063 250690270126 259435279549 485031174809 518870559098 656218648271 970062349618 1312437296542 11155717020607 22311434041214