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314550010443102 = 237411392515235619
BaseRepresentation
bin100011110000101001110000…
…1101000101111010101011110
31112020201200120001112222201120
41013201103201220233111132
5312212041410133134402
63032554140243551410
7123153326326566240
oct10741234150572536
91466650501488646
10314550010443102
1191252a01658715
122b341a9608b566
1310668c284619a5
145796431d76090
15265727aae93bc
hex11e14e1a2f55e

314550010443102 has 128 divisors (see below), whose sum is σ = 744761499955200. Its totient is φ = 86701834080000.

The previous prime is 314550010443083. The next prime is 314550010443103. The reversal of 314550010443102 is 201344010055413.

It is a super-3 number, since 3×3145500104431023 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314550010443103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57461049 + ... + 62696667.

It is an arithmetic number, because the mean of its divisors is an integer number (5818449218400).

Almost surely, 2314550010443102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314550010443102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372380749977600).

314550010443102 is an abundant number, since it is smaller than the sum of its proper divisors (430211489512098).

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

314550010443102 is a wasteful number, since it uses less digits than its factorization.

314550010443102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236062.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 314550010443102 its reverse (201344010055413), we get a palindrome (515894020498515).

The spelling of 314550010443102 in words is "three hundred fourteen trillion, five hundred fifty billion, ten million, four hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 139 246 251 278 287 417 502 574 753 834 861 973 1506 1722 1757 1946 2919 3514 5271 5699 5838 10291 10542 11398 17097 20582 30873 34194 34889 39893 61746 69778 72037 79786 104667 119679 144074 209334 216111 239358 244223 432222 488446 732669 1430449 1465338 2860898 4291347 5235619 8582694 10013143 10471238 15706857 20026286 30039429 31413714 36649333 60078858 73298666 109947999 214660379 219895998 429320758 643981137 727751041 1287962274 1314140369 1455502082 1502622653 2183253123 2628280738 3005245306 3942421107 4366506246 4507867959 5094257287 7884842214 9015735918 9198982583 10188514574 15282771861 18397965166 27596947749 29837792681 30565543722 53879755129 55193895498 59675585362 89513378043 107759510258 161639265387 179026756086 182665511291 208864548767 323278530774 365331022582 377158285903 417729097534 547996533873 626593646301 754316571806 1095993067746 1131474857709 1253187292602 1278658579037 2262949715418 2557317158074 3835975737111 7489285962931 7671951474222 14978571925862 22467857888793 44935715777586 52425001740517 104850003481034 157275005221551 314550010443102