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142218422314880 = 2754147115317221
BaseRepresentation
bin100000010101100011001110…
…100010101110011110000000
3200122112221121101012122012012
4200111203032202232132000
5122120101312103034010
61222250124040152052
741645641040605022
oct4025431642563600
9618487541178165
10142218422314880
114135154885204a
1213b4aa71a68628
1361481a7b49a72
1427195a07bc012
151169662e17005
hex8158ce8ae780

142218422314880 has 128 divisors (see below), whose sum is σ = 355693664914560. Its totient is φ = 54319023308800.

The previous prime is 142218422314823. The next prime is 142218422314889. The reversal of 142218422314880 is 88413224812241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142218422314889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56425331 + ... + 58891890.

It is an arithmetic number, because the mean of its divisors is an integer number (2778856757145).

Almost surely, 2142218422314880 is an apocalyptic number.

142218422314880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142218422314880 is an abundant number, since it is smaller than the sum of its proper divisors (213475242599680).

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

142218422314880 is a wasteful number, since it uses less digits than its factorization.

142218422314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115317328 (or 115317316 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 50.

The spelling of 142218422314880 in words is "one hundred forty-two trillion, two hundred eighteen billion, four hundred twenty-two million, three hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 47 64 80 82 94 128 160 164 188 205 235 320 328 376 410 470 640 656 752 820 940 1312 1504 1640 1880 1927 2624 3008 3280 3760 3854 5248 6016 6560 7520 7708 9635 13120 15040 15416 19270 26240 30080 30832 38540 61664 77080 123328 154160 246656 308320 616640 1233280 115317221 230634442 461268884 576586105 922537768 1153172210 1845075536 2306344420 3690151072 4612688840 4728006061 5419909387 7380302144 9225377680 9456012122 10839818774 14760604288 18450755360 18912024244 21679637548 23640030305 27099546935 36901510720 37824048488 43359275096 47280060610 54199093870 73803021440 75648096976 86718550192 94560121220 108398187740 151296193952 173437100384 189120242440 216796375480 222216284867 302592387904 346874200768 378240484880 433592750960 444432569734 605184775808 693748401536 756480969760 867185501920 888865139468 1111081424335 1512961939520 1734371003840 1777730278936 2222162848670 3025923879040 3468742007680 3555460557872 4444325697340 7110921115744 8888651394680 14221842231488 17777302789360 28443684462976 35554605578720 71109211157440 142218422314880