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42002040042004 = 22731449107771597
BaseRepresentation
bin10011000110011010111001…
…01011010011001000010100
312111201100121101110201210211
421203031130223103020110
521001130134222321004
6225155245410255204
711563355464445110
oct1143153453231024
9174640541421724
1042002040042004
1112423a68681689
12486433a287504
131a58a10685b83
14a52ca3c88740
154cc881d6b504
hex26335cad3214

42002040042004 has 48 divisors (see below), whose sum is σ = 86907016627200. Its totient is φ = 17381403002880.

The previous prime is 42002040041963. The next prime is 42002040042013. The reversal of 42002040042004 is 40024004020024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53496067 + ... + 54275530.

It is an arithmetic number, because the mean of its divisors is an integer number (1810562846400).

Almost surely, 242002040042004 is an apocalyptic number.

It is an amenable number.

42002040042004 is an abundant number, since it is smaller than the sum of its proper divisors (44904976585196).

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

42002040042004 is a wasteful number, since it uses less digits than its factorization.

42002040042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107772088 (or 107772086 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42002040042004 its reverse (40024004020024), we get a palindrome (82026044062028).

The spelling of 42002040042004 in words is "forty-two trillion, two billion, forty million, forty-two thousand, four", and thus it is an eban number.

Divisors: 1 2 4 7 14 28 31 62 124 217 434 449 868 898 1796 3143 6286 12572 13919 27838 55676 97433 194866 389732 107771597 215543194 431086388 754401179 1508802358 3017604716 3340919507 6681839014 13363678028 23386436549 46772873098 48389447053 93545746196 96778894106 193557788212 338726129371 677452258742 1354904517484 1500072858643 3000145717286 6000291434572 10500510010501 21001020021002 42002040042004