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42331304034140 = 2251137732975869
BaseRepresentation
bin10011010000000000001100…
…10101101111111101011100
312112212211111100202120221112
421220000012111233331130
521022024002313043030
6230010422124321152
711626223114265002
oct1150000625577534
9175784440676845
1042331304034140
1112540672609350
1248b81100a31b8
131a80a95240a54
14a64bbb7a6a72
154d620371ca95
hex26800656ff5c

42331304034140 has 144 divisors (see below), whose sum is σ = 100981325682720. Its totient is φ = 14771987159040.

The previous prime is 42331304034127. The next prime is 42331304034143. The reversal of 42331304034140 is 4143040313324.

It is a junction number, because it is equal to n+sod(n) for n = 42331304034097 and 42331304034106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331304034143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42890126 + ... + 43865994.

It is an arithmetic number, because the mean of its divisors is an integer number (701259206130).

Almost surely, 242331304034140 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 42331304034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50490662841360).

42331304034140 is an abundant number, since it is smaller than the sum of its proper divisors (58650021648580).

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

42331304034140 is a wasteful number, since it uses less digits than its factorization.

42331304034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976072 (or 975997 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42331304034140 its reverse (4143040313324), we get a palindrome (46474344347464).

The spelling of 42331304034140 in words is "forty-two trillion, three hundred thirty-one billion, three hundred four million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 73 74 110 146 148 185 220 292 365 370 407 730 740 803 814 1460 1606 1628 2035 2701 3212 4015 4070 5329 5402 8030 8140 10658 10804 13505 16060 21316 26645 27010 29711 53290 54020 58619 59422 106580 117238 118844 148555 197173 234476 293095 297110 394346 586190 594220 788692 975869 985865 1172380 1951738 1971730 2168903 3903476 3943460 4337806 4879345 8675612 9758690 10734559 10844515 19517380 21469118 21689030 36107153 42938236 43378060 53672795 71238437 72214306 107345590 142476874 144428612 180535765 214691180 284953748 356192185 361071530 397178683 712384370 722143060 783622807 794357366 1424768740 1567245614 1588714732 1985893415 2635822169 3134491228 3918114035 3971786830 5200405901 5271644338 7836228070 7943573660 10400811802 10543288676 13179110845 15672456140 20801623604 26002029505 26358221690 28994043859 52004059010 52716443380 57204464911 57988087718 104008118020 114408929822 115976175436 144970219295 192415018337 228817859644 286022324555 289940438590 384830036674 572044649110 579880877180 769660073348 962075091685 1144089298220 1924150183370 2116565201707 3848300366740 4233130403414 8466260806828 10582826008535 21165652017070 42331304034140