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942428309040 = 243251737566059
BaseRepresentation
bin11011011011011010001…
…10101100011000110000
310100002120110010111111200
431231231012230120300
5110420043121342130
62000540125211200
7125042152311351
oct15555506543060
93302513114450
10942428309040
11333755236409
12132795400b00
136ab4195970a
14338842a1d28
15197ac2cc760
hexdb6d1ac630

942428309040 has 120 divisors (see below), whose sum is σ = 3183283555920. Its totient is φ = 249861499392.

The previous prime is 942428309029. The next prime is 942428309041. The reversal of 942428309040 is 40903824249.

It is a happy number.

942428309040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9424283090402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (942428309041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3658470 + ... + 3907589.

It is an arithmetic number, because the mean of its divisors is an integer number (26527362966).

Almost surely, 2942428309040 is an apocalyptic number.

942428309040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

942428309040 is an abundant number, since it is smaller than the sum of its proper divisors (2240855246880).

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

942428309040 is a wasteful number, since it uses less digits than its factorization.

942428309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566251 (or 7566242 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 942428309040 in words is "nine hundred forty-two billion, four hundred twenty-eight million, three hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2595 2768 3114 3460 4152 5190 6228 6920 7785 8304 10380 12456 13840 15570 20760 24912 31140 41520 62280 124560 7566059 15132118 22698177 30264236 37830295 45396354 60528472 68094531 75660590 90792708 113490885 121056944 136189062 151321180 181585416 226981770 272378124 302642360 340472655 363170832 453963540 544756248 605284720 680945310 907927080 1089512496 1308928207 1361890620 1815854160 2617856414 2723781240 3926784621 5235712828 5447562480 6544641035 7853569242 10471425656 11780353863 13089282070 15707138484 19633923105 20942851312 23560707726 26178564140 31414276968 39267846210 47121415452 52357128280 58901769315 62828553936 78535692420 94242830904 104714256560 117803538630 157071384840 188485661808 235607077260 314142769680 471214154520 942428309040