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42245455253190 = 23571013691539629
BaseRepresentation
bin10011001101100000010010…
…10110101000111011000110
312112120121220102010122210220
421212300021112220323012
521014122143021100230
6225503143315125210
711620063522552620
oct1146601126507306
9175517812118726
1042245455253190
1112508219176602
1248a35515a3806
131a75963477c07
14a60995d43c10
154d3d7ba36d10
hex266c095a8ec6

42245455253190 has 128 divisors (see below), whose sum is σ = 117052429777920. Its totient is φ = 9557891136000.

The previous prime is 42245455253179. The next prime is 42245455253191. The reversal of 42245455253190 is 9135255454224.

It is a super-2 number, since 2×422454552531902 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42245455253191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78016296 + ... + 78555924.

It is an arithmetic number, because the mean of its divisors is an integer number (914472107640).

Almost surely, 242245455253190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42245455253190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58526214888960).

42245455253190 is an abundant number, since it is smaller than the sum of its proper divisors (74806974524730).

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

42245455253190 is a wasteful number, since it uses less digits than its factorization.

42245455253190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543438.

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 42245455253190 in words is "forty-two trillion, two hundred forty-five billion, four hundred fifty-five million, two hundred fifty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1414 1515 2121 3030 3535 3691 4242 7070 7382 10605 11073 18455 21210 22146 25837 36910 51674 55365 77511 110730 129185 155022 258370 372791 387555 539629 745582 775110 1079258 1118373 1618887 1863955 2236746 2609537 2698145 3237774 3727910 3777403 5219074 5396290 5591865 7554806 7828611 8094435 11183730 11332209 13047685 15657222 16188870 18887015 22664418 26095370 37774030 39143055 54502529 56661045 78286110 109005058 113322090 163507587 272512645 327015174 381517703 545025290 763035406 817537935 1144553109 1635075870 1907588515 1991770639 2289106218 3815177030 3983541278 5722765545 5975311917 9958853195 11445531090 11950623834 13942394473 19917706390 27884788946 29876559585 41827183419 59753119170 69711972365 83654366838 139423944730 201168834539 209135917095 402337669078 418271834190 603506503617 1005844172695 1207013007234 1408181841773 2011688345390 2816363683546 3017532518085 4224545525319 6035065036170 7040909208865 8449091050638 14081818417730 21122727626595 42245455253190