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742241150420 = 225721182783257
BaseRepresentation
bin10101100110100010000…
…01010010010111010100
32121221212001200011122112
422303101001102113110
544130102213303140
61324551511450152
7104424266452400
oct12632101222724
92557761604575
10742241150420
11266867863170
12bba27086958
1354cba92b1c3
1427cd33c2100
15144926d8c65
hexacd10525d4

742241150420 has 144 divisors (see below), whose sum is σ = 1980440062272. Its totient is φ = 231065372160.

The previous prime is 742241150401. The next prime is 742241150437. The reversal of 742241150420 is 24051142247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8873432 + ... + 8956688.

It is an arithmetic number, because the mean of its divisors is an integer number (13753055988).

Almost surely, 2742241150420 is an apocalyptic number.

742241150420 is a gapful number since it is divisible by the number (70) 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 742241150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990220031136).

742241150420 is an abundant number, since it is smaller than the sum of its proper divisors (1238198911852).

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

742241150420 is a wasteful number, since it uses less digits than its factorization.

742241150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84118 (or 84109 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Adding to 742241150420 its reverse (24051142247), we get a palindrome (766292292667).

The spelling of 742241150420 in words is "seven hundred forty-two billion, two hundred forty-one million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 827 980 1078 1540 1654 2156 2695 3308 4135 5390 5789 8270 9097 10780 11578 16540 18194 23156 28945 36388 40523 45485 57890 63679 81046 83257 90970 115780 127358 162092 166514 181940 202615 254716 318395 333028 405230 416285 445753 582799 636790 810460 832570 891506 915827 1165598 1273580 1665140 1783012 1831654 2228765 2331196 2913995 3663308 4079593 4457530 4579135 5827990 6410789 8159186 8915060 9158270 11655980 12821578 16318372 18316540 20397965 25643156 32053945 40795930 44875523 64107890 68853539 81591860 89751046 128215780 137707078 179502092 224377615 275414156 344267695 448755230 481974773 688535390 757388929 897510460 963949546 1377070780 1514777858 1927899092 2409873865 3029555716 3373823411 3786944645 4819747730 5301722503 6747646822 7573889290 9639495460 10603445006 13495293644 15147778580 16869117055 21206890012 26508612515 33738234110 37112057521 53017225030 67476468220 74224115042 106034450060 148448230084 185560287605 371120575210 742241150420