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42140200333344 = 2535937331993037
BaseRepresentation
bin10011001010011100001111…
…01010111111000000100000
312112012120020000102201201020
421211032013222333000200
521010411112241131334
6225342535113005440
711606346306524241
oct1145160752770040
9175176200381636
1042140200333344
111247761654a443
1248870779b3880
131a68a5b063a59
14a5984d024cc8
154d126b2dde49
hex265387abf020

42140200333344 has 96 divisors (see below), whose sum is σ = 112523098847040. Its totient is φ = 13804947213312.

The previous prime is 42140200333337. The next prime is 42140200333379. The reversal of 42140200333344 is 44333300204124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 20147194 + ... + 22140230.

It is an arithmetic number, because the mean of its divisors is an integer number (1172115612990).

Almost surely, 242140200333344 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 42140200333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56261549423520).

42140200333344 is an abundant number, since it is smaller than the sum of its proper divisors (70382898513696).

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

42140200333344 is a wasteful number, since it uses less digits than its factorization.

42140200333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996842 (or 1996834 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 42140200333344 its reverse (44333300204124), we get a palindrome (86473500537468).

The spelling of 42140200333344 in words is "forty-two trillion, one hundred forty billion, two hundred million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3733 5664 7466 11199 14932 22398 29864 44796 59728 89592 119456 179184 220247 358368 440494 660741 880988 1321482 1761976 1993037 2642964 3523952 3986074 5285928 5979111 7047904 7972148 10571856 11958222 15944296 21143712 23916444 31888592 47832888 63777184 95665776 117589183 191331552 235178366 352767549 470356732 705535098 940713464 1411070196 1881426928 2822140392 3762853856 5644280784 7440007121 11288561568 14880014242 22320021363 29760028484 44640042726 59520056968 89280085452 119040113936 178560170904 238080227872 357120341808 438960420139 714240683616 877920840278 1316881260417 1755841680556 2633762520834 3511683361112 5267525041668 7023366722224 10535050083336 14046733444448 21070100166672 42140200333344