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10142440605301 = 177170911851927
BaseRepresentation
bin1001001110010111100010…
…0100011100011001110101
31022220121102010100201122111
42103211320210130121311
52312133204243332201
633323212313331021
72064524063456044
oct223457044343165
938817363321574
1010142440605301
113260426344034
12117980aa06a71
13587574552364
14270c7a94a55b
15128c6505bb51
hex9397891c675

10142440605301 has 16 divisors (see below), whose sum is σ = 10905670068480. Its totient is φ = 9398103240960.

The previous prime is 10142440605287. The next prime is 10142440605337. The reversal of 10142440605301 is 10350604424101.

10142440605301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10142440605301 - 27 = 10142440605173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142440605391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070201 + ... + 6781726.

It is an arithmetic number, because the mean of its divisors is an integer number (681604379280).

Almost surely, 210142440605301 is an apocalyptic number.

It is an amenable number.

10142440605301 is a deficient number, since it is larger than the sum of its proper divisors (763229463179).

10142440605301 is a wasteful number, since it uses less digits than its factorization.

10142440605301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852724.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 10142440605301 in words is "ten trillion, one hundred forty-two billion, four hundred forty million, six hundred five thousand, three hundred one".

Divisors: 1 17 71 709 1207 12053 50339 855763 11851927 201482759 841486817 8403016243 14305275889 142851276131 596614153253 10142440605301