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69301731444 = 223113160727901
BaseRepresentation
bin100000010001010110…
…1001000000001110100
320121212202102201111020
41000202231020001310
52113412220401234
651500424341140
75002234666161
oct1004255100164
9217782381436
1069301731444
1127433025620
12115210147b0
1366c58933aa
1434d5dad068
151c09181549
hex1022b48074

69301731444 has 96 divisors (see below), whose sum is σ = 182401400832. Its totient is φ = 20288880000.

The previous prime is 69301731437. The next prime is 69301731461. The reversal of 69301731444 is 44413710396.

It is a super-2 number, since 2×693017314442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 69301731396 and 69301731405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2469894 + ... + 2497794.

It is an arithmetic number, because the mean of its divisors is an integer number (1900014592).

Almost surely, 269301731444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69301731444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91200700416).

69301731444 is an abundant number, since it is smaller than the sum of its proper divisors (113099669388).

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

69301731444 is a wasteful number, since it uses less digits than its factorization.

69301731444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28557 (or 28555 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

It can be divided in two parts, 69301 and 731444, that added together give a triangular number (800745 = T1265).

The spelling of 69301731444 in words is "sixty-nine billion, three hundred one million, seven hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 607 682 1023 1214 1364 1821 2046 2428 3642 4092 6677 7284 13354 18817 20031 26708 27901 37634 40062 55802 56451 75268 80124 83703 111604 112902 167406 206987 225804 306911 334812 413974 613822 620961 827948 864931 920733 1227644 1241922 1729862 1841466 2483844 2594793 3459724 3682932 5189586 9514241 10379172 16935907 19028482 28542723 33871814 38056964 50807721 57085446 67743628 101615442 114170892 186294977 203230884 372589954 525013117 558884931 745179908 1050026234 1117769862 1575039351 2100052468 2235539724 3150078702 5775144287 6300157404 11550288574 17325432861 23100577148 34650865722 69301731444