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742440202044247 = 710131712972554129
BaseRepresentation
bin1010100011001111101101010…
…0100000101000001101010111
310121100202120221012210101101001
42220303323110200220031113
51234303120013210403442
611151012153102044131
7312245351216566360
oct25063732440501527
93540676835711331
10742440202044247
111a5623137750223
126b329a75579647
1325b36a6cc93b85
14d14a424530b67
155ac78906772b7
hex2a33ed4828357

742440202044247 has 32 divisors (see below), whose sum is σ = 860270378901120. Its totient is φ = 627604418764800.

The previous prime is 742440202044221. The next prime is 742440202044251.

742440202044247 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 742440202044247 - 27 = 742440202044119 is a prime.

It is a super-2 number, since 2×7424402020442472 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 742440202044197 and 742440202044206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742440200044247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289405279 + ... + 291959407.

It is an arithmetic number, because the mean of its divisors is an integer number (26883449340660).

Almost surely, 2742440202044247 is an apocalyptic number.

742440202044247 is a deficient number, since it is larger than the sum of its proper divisors (117830176856873).

742440202044247 is a wasteful number, since it uses less digits than its factorization.

742440202044247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555851.

The product of its (nonzero) digits is 3211264, while the sum is 46.

It can be divided in two parts, 74244020 and 2044247, that added together give a palindrome (76288267).

The spelling of 742440202044247 in words is "seven hundred forty-two trillion, four hundred forty billion, two hundred two million, forty-four thousand, two hundred forty-seven".

Divisors: 1 7 101 317 707 1297 2219 9079 32017 130997 224119 411149 916979 2554129 2878043 17878903 41526049 257967029 290682343 809658893 1805769203 3312705313 5667612251 23188937191 81775548193 334583236613 572428837351 1050127584221 2342082656291 7350893089547 106062886006321 742440202044247