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42407742742212 = 223291016171955507
BaseRepresentation
bin10011010010001110100100…
…11100010001111011000100
312120011010210111200021211110
421221013102130101323010
521024302024120222322
6230105503103205020
711634600253502211
oct1151072234217304
9176133714607743
1042407742742212
1112570028235061
12490aaa32a6770
131a880575c9223
14a6878d58ab08
154d81c9223c0c
hex2691d2711ec4

42407742742212 has 96 divisors (see below), whose sum is σ = 103544617921920. Its totient is φ = 13491426995200.

The previous prime is 42407742742199. The next prime is 42407742742219. The reversal of 42407742742212 is 21224724770424.

It is a super-2 number, since 2×424077427422122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42407742742219) 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, 20708563 + ... + 22664069.

It is an arithmetic number, because the mean of its divisors is an integer number (1078589770020).

Almost surely, 242407742742212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407742742212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51772308960960).

42407742742212 is an abundant number, since it is smaller than the sum of its proper divisors (61136875179708).

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

42407742742212 is a wasteful number, since it uses less digits than its factorization.

42407742742212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956261 (or 1956259 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 48.

The spelling of 42407742742212 in words is "forty-two trillion, four hundred seven billion, seven hundred forty-two million, seven hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 617 1212 1234 1851 2468 2929 3702 5858 7404 8787 11716 17574 17893 35148 35786 53679 62317 71572 107358 124634 186951 214716 249268 373902 747804 1807193 1955507 3614386 3911014 5421579 5866521 7228772 7822028 10843158 11733042 21686316 23466084 56709703 113419406 170129109 197506207 226838812 340258218 395012414 592518621 680516436 790024828 1185037242 1206547819 2370074484 2413095638 3619643457 4826191276 5727680003 7239286914 11455360006 14478573828 17183040009 22910720012 34366080018 34989886751 68732160036 69979773502 104969660253 121861329719 139959547004 209939320506 243722659438 365583989157 419878641012 487445318876 731167978314 1462335956628 3533978561851 7067957123702 10601935685553 14135914247404 21203871371106 42407742742212