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42142121321004 = 2232192919111123179
BaseRepresentation
bin10011001010011111110100…
…01010111110001000101100
312112012202011220010000101100
421211033322022332020230
521010424031024233004
6225343453454243100
711606445023615325
oct1145177212761054
9175182156100340
1042142121321004
111247841192a951
1248875131b6490
131a68ca6035443
14a599921d344c
154d132ec95739
hex2653fa2be22c

42142121321004 has 144 divisors (see below), whose sum is σ = 116606520576000. Its totient is φ = 12781866303360.

The previous prime is 42142121320979. The next prime is 42142121321057. The reversal of 42142121321004 is 40012312124124.

42142121321004 is a `hidden beast` number, since 4 + 2 + 1 + 421 + 2 + 132 + 100 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772914 + ... + 9350265.

It is an arithmetic number, because the mean of its divisors is an integer number (809767504000).

Almost surely, 242142121321004 is an apocalyptic number.

It is an amenable number.

42142121321004 is an abundant number, since it is smaller than the sum of its proper divisors (74464399254996).

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

42142121321004 is a wasteful number, since it uses less digits than its factorization.

42142121321004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123428 (or 11123423 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42142121321004 its reverse (40012312124124), we get a palindrome (82154433445128).

The spelling of 42142121321004 in words is "forty-two trillion, one hundred forty-two billion, one hundred twenty-one million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 191 228 261 342 348 382 522 551 573 684 764 1044 1102 1146 1653 1719 2204 2292 3306 3438 3629 4959 5539 6612 6876 7258 9918 10887 11078 14516 16617 19836 21774 22156 32661 33234 43548 49851 65322 66468 99702 105241 130644 199404 210482 315723 420964 631446 947169 1262892 1894338 3788676 11123179 22246358 33369537 44492716 66739074 100108611 133478148 200217222 211340401 322572191 400434444 422680802 634021203 645144382 845361604 967716573 1268042406 1290288764 1902063609 1935433146 2124527189 2536084812 2903149719 3804127218 3870866292 4249054378 5806299438 6128871629 6373581567 7608254436 8498108756 11612598876 12257743258 12747163134 18386614887 19120744701 24515486516 25494326268 36773229774 38241489402 40366016591 55159844661 61611288481 73546459548 76482978804 80732033182 110319689322 121098049773 123222576962 161464066364 184833865443 220639378644 242196099546 246445153924 363294149319 369667730886 484392199092 554501596329 726588298638 739335461772 1109003192658 1170614481139 1453176597276 2218006385316 2341228962278 3511843443417 4682457924556 7023686886834 10535530330251 14047373773668 21071060660502 42142121321004