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438248053002414 = 232316343394490179
BaseRepresentation
bin110001110100101011001001…
…1100001011101000010101110
32010110201002211022211102000210
41203221112103201131002232
5424420224003032034124
64152024213131003250
7161211243204150054
oct14351262341350256
92113632738742023
10438248053002414
11117703a568a9016
124119b4aa299526
1315a6c7ca162855
147a314672661d4
15359ec86c93a29
hex18e959385d0ae

438248053002414 has 64 divisors (see below), whose sum is σ = 920427988838400. Its totient is φ = 138841979344992.

The previous prime is 438248053002373. The next prime is 438248053002491. The reversal of 438248053002414 is 414200350842834.

It is a super-2 number, since 2×4382480530024142 (a number of 30 digits) contains 22 as substring.

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, 95356377 + ... + 99846555.

It is an arithmetic number, because the mean of its divisors is an integer number (14381687325600).

Almost surely, 2438248053002414 is an apocalyptic number.

438248053002414 is an abundant number, since it is smaller than the sum of its proper divisors (482179935835986).

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

438248053002414 is a wasteful number, since it uses less digits than its factorization.

438248053002414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494709.

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 438248053002414 in words is "four hundred thirty-eight trillion, two hundred forty-eight billion, fifty-three million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 163 326 489 978 3749 4339 7498 8678 11247 13017 22494 26034 99797 199594 299391 598782 707257 1414514 2121771 4243542 4490179 8980358 13470537 16266911 26941074 32533822 48800733 97601466 103274117 206548234 309822351 619644702 731899177 1463798354 2195697531 4391395062 16833681071 19482886681 33667362142 38965773362 50501043213 58448660043 101002086426 116897320086 448106393663 896212787326 1344319180989 2688638361978 3175710529003 6351421058006 9527131587009 19054263174018 73041342167069 146082684334138 219124026501207 438248053002414