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42672490122120 = 23353074092832077
BaseRepresentation
bin10011011001111011101101…
…00111011000101110001000
312121002110011012120200000120
421230331312213120232020
521043121224432401440
6230431245450303240
711662662041214525
oct1154756647305610
9177073135520016
1042672490122120
1112662335228091
12495226a727b20
131aa6cc9a85001
14a7750682414c
154e0021aa1dd0
hex26cf769d8b88

42672490122120 has 128 divisors (see below), whose sum is σ = 128748531542400. Its totient is φ = 11314528782336.

The previous prime is 42672490122103. The next prime is 42672490122131. The reversal of 42672490122120 is 2122109427624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13651522 + ... + 16483598.

It is an arithmetic number, because the mean of its divisors is an integer number (1005847902675).

Almost surely, 242672490122120 is an apocalyptic number.

42672490122120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42672490122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64374265771200).

42672490122120 is an abundant number, since it is smaller than the sum of its proper divisors (86076041420280).

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

42672490122120 is a wasteful number, since it uses less digits than its factorization.

42672490122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832807 (or 2832803 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

Adding to 42672490122120 its reverse (2122109427624), we get a palindrome (44794599549744).

The spelling of 42672490122120 in words is "forty-two trillion, six hundred seventy-two billion, four hundred ninety million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 409 614 818 921 1227 1228 1535 1636 1842 2045 2454 2456 3070 3272 3684 4090 4605 4908 6135 6140 7368 8180 9210 9816 12270 12280 16360 18420 24540 36840 49080 125563 251126 376689 502252 627815 753378 1004504 1255630 1506756 1883445 2511260 2832077 3013512 3766890 5022520 5664154 7533780 8496231 11328308 14160385 15067560 16992462 22656616 28320770 33984924 42481155 56641540 67969848 84962310 113283080 169924620 339849240 869447639 1158319493 1738895278 2316638986 2608342917 3474958479 3477790556 4347238195 4633277972 5216685834 5791597465 6949916958 6955581112 8694476390 9266555944 10433371668 11583194930 13041714585 13899833916 17374792395 17388952780 20866743336 23166389860 26083429170 27799667832 34749584790 34777905560 46332779720 52166858340 69499169580 104333716680 138998339160 355604084351 711208168702 1066812253053 1422416337404 1778020421755 2133624506106 2844832674808 3556040843510 4267249012212 5334061265265 7112081687020 8534498024424 10668122530530 14224163374040 21336245061060 42672490122120