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42024133144020 = 223515729017153743
BaseRepresentation
bin10011000111000100000011…
…00001110010110111010100
312111210110122002112121020110
421203202001201302313110
521002010411041102040
6225213341550203020
711565100123636206
oct1143420141626724
9174713562477213
1042024133144020
1112432375658185
1248686851b3470
131a5ab218a49c1
14a53d9c142776
154cd22673a980
hex263881872dd4

42024133144020 has 96 divisors (see below), whose sum is σ = 118421898997248. Its totient is φ = 11134600768512.

The previous prime is 42024133143977. The next prime is 42024133144033. The reversal of 42024133144020 is 2044133142024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 273263269 + ... + 273417011.

It is an arithmetic number, because the mean of its divisors is an integer number (1233561447888).

Almost surely, 242024133144020 is an apocalyptic number.

It is an amenable number.

42024133144020 is an abundant number, since it is smaller than the sum of its proper divisors (76397765853228).

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

42024133144020 is a wasteful number, since it uses less digits than its factorization.

42024133144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182929 (or 182927 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42024133144020 its reverse (2044133142024), we get a palindrome (44068266286044).

The spelling of 42024133144020 in words is "forty-two trillion, twenty-four billion, one hundred thirty-three million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 29017 58034 87051 116068 145085 153743 174102 290170 307486 348204 435255 461229 580340 614972 768715 870510 922458 1537430 1741020 1844916 2306145 3074860 4555669 4612290 9111338 9224580 13667007 18222676 22778345 24137651 27334014 45556690 48275302 54668028 68335035 72412953 91113380 96550604 120688255 136670070 144825906 241376510 273340140 289651812 362064765 482753020 724129530 1448259060 4461160631 8922321262 13383481893 17844642524 22305803155 26766963786 44611606310 53533927572 66917409465 89223212620 133834818930 267669637860 700402219067 1400804438134 2101206657201 2801608876268 3502011095335 4202413314402 7004022190670 8404826628804 10506033286005 14008044381340 21012066572010 42024133144020