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1420832137840 = 245149307938713
BaseRepresentation
bin10100101011010000001…
…100011110001001110000
312000211102020100001020121
4110223100030132021300
5141234331011402330
63004415443420024
7204436354621543
oct24532014361160
95024366301217
101420832137840
114a8631778835
121ab449984614
13a3ca380775b
144caa922485a
1526e5bea017a
hex14ad031e270

1420832137840 has 80 divisors (see below), whose sum is σ = 3326771448000. Its totient is φ = 564320618496.

The previous prime is 1420832137831. The next prime is 1420832137859. The reversal of 1420832137840 is 487312380241.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 36682324 + ... + 36721036.

It is an arithmetic number, because the mean of its divisors is an integer number (41584643100).

Almost surely, 21420832137840 is an apocalyptic number.

1420832137840 is a gapful number since it is divisible by the number (10) 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 1420832137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663385724000).

1420832137840 is an abundant number, since it is smaller than the sum of its proper divisors (1905939310160).

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

1420832137840 is a wasteful number, since it uses less digits than its factorization.

1420832137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41954 (or 41948 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 1420832137840 in words is "one trillion, four hundred twenty billion, eight hundred thirty-two million, one hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 3079 5960 6158 11920 12316 15395 24632 30790 38713 49264 61580 77426 123160 154852 193565 246320 309704 387130 458771 619408 774260 917542 1548520 1835084 2293855 3097040 3670168 4587710 5768237 7340336 9175420 11536474 18350840 23072948 28841185 36701680 46145896 57682370 92291792 115364740 119197327 230729480 238394654 461458960 476789308 595986635 953578616 1191973270 1907157232 2383946540 4767893080 9535786160 17760401723 35520803446 71041606892 88802008615 142083213784 177604017230 284166427568 355208034460 710416068920 1420832137840