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42002000422040 = 2351924097111799
BaseRepresentation
bin10011000110011010110100…
…10100001010010010011000
312111201100111121220211102202
421203031122110022102120
521001130044102001130
6225155241433145332
711563354503622031
oct1143153224122230
9174640447824382
1042002000422040
1112423a4828060a
124864328b5b248
131a58a053c32c9
14a52c9c8d3a88
154cc87d642145
hex26335a50a498

42002000422040 has 96 divisors (see below), whose sum is σ = 99984085020000. Its totient is φ = 15877629531648.

The previous prime is 42002000422037. The next prime is 42002000422079. The reversal of 42002000422040 is 4022400020024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350061 + ... + 9461859.

It is an arithmetic number, because the mean of its divisors is an integer number (1041500885625).

Almost surely, 242002000422040 is an apocalyptic number.

42002000422040 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 42002000422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49992042510000).

42002000422040 is an abundant number, since it is smaller than the sum of its proper divisors (57982084597960).

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

42002000422040 is a wasteful number, since it uses less digits than its factorization.

42002000422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112257 (or 7112234 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42002000422040 its reverse (4022400020024), we get a palindrome (46024400442064).

The spelling of 42002000422040 in words is "forty-two trillion, two billion, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 409 722 760 818 1444 1636 1805 2045 2888 3272 3610 4090 7220 7771 8180 14440 15542 16360 31084 38855 62168 77710 147649 155420 295298 310840 590596 738245 1181192 1476490 2952980 5905960 7111799 14223598 28447196 35558995 56894392 71117990 135124181 142235980 270248362 284471960 540496724 675620905 1080993448 1351241810 2567359439 2702483620 2908725791 5134718878 5404967240 5817451582 10269437756 11634903164 12836797195 14543628955 20538875512 23269806328 25673594390 29087257910 51347188780 55265790029 58174515820 102694377560 110531580058 116349031640 221063160116 276328950145 442126320232 552657900290 1050050010551 1105315800580 2100100021102 2210631601160 4200200042204 5250250052755 8400400084408 10500500105510 21001000211020 42002000422040