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42214122322104 = 2337352368367453
BaseRepresentation
bin10011001100100101111011…
…10000111111100010111000
312112110122000202200211201210
421212102331300333202320
521013114010303301404
6225440522225443120
711614604206206405
oct1146227560774270
9175418022624653
1042214122322104
11124a59aa592737
1248994681a04a0
131a72a0bbb79c5
14a5d2628852ac
154d3145db5689
hex2664bdc3f8b8

42214122322104 has 128 divisors (see below), whose sum is σ = 107344072316160. Its totient is φ = 13831592721408.

The previous prime is 42214122322103. The next prime is 42214122322121. The reversal of 42214122322104 is 40122322141224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214122322103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625796442 + ... + 625863894.

It is an arithmetic number, because the mean of its divisors is an integer number (838625564970).

Almost surely, 242214122322104 is an apocalyptic number.

It is an amenable number.

42214122322104 is an abundant number, since it is smaller than the sum of its proper divisors (65129949994056).

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

42214122322104 is a wasteful number, since it uses less digits than its factorization.

42214122322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68741 (or 68737 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42214122322104 its reverse (40122322141224), we get a palindrome (82336444463328).

The spelling of 42214122322104 in words is "forty-two trillion, two hundred fourteen billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 523 584 683 876 1046 1366 1569 1752 2049 2092 2732 3138 4098 4184 5464 6276 8196 12552 16392 38179 49859 67453 76358 99718 114537 134906 149577 152716 199436 202359 229074 269812 299154 305432 357209 398872 404718 458148 539624 598308 714418 809436 916296 1071627 1196616 1428836 1618872 2143254 2857672 4286508 4924069 8573016 9848138 14772207 19696276 26076257 29544414 35277919 39392552 46070399 52152514 59088828 70555838 78228771 92140798 104305028 105833757 118177656 138211197 141111676 156457542 184281596 208610056 211667514 276422394 282223352 312915084 368563192 423335028 552844788 625830168 846670056 1105689576 2575288087 3363139127 5150576174 6726278254 7725864261 10089417381 10301152348 13452556508 15451728522 20178834762 20602304696 24094818677 26905113016 30903457044 40357669524 48189637354 61806914088 72284456031 80715339048 96379274708 144568912062 192758549416 289137824124 578275648248 1758921763421 3517843526842 5276765290263 7035687053684 10553530580526 14071374107368 21107061161052 42214122322104