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12423410016344 = 2343715937191193
BaseRepresentation
bin1011010011001000110011…
…1100001110000001011000
31121222122222210201112001122
42310302030330032001120
53112021120431010334
642231122532104412
72421363452533025
oct264621474160130
947878883645048
1012423410016344
113a5a814092a48
1214878a6a65108
136c16a40277b2
1430d420cc054c
15168264b1a32e
hexb4c8cf0e058

12423410016344 has 128 divisors (see below), whose sum is σ = 24266084198400. Its totient is φ = 5958401003520.

The previous prime is 12423410016343. The next prime is 12423410016371. The reversal of 12423410016344 is 44361001432421.

It is a happy number.

It is a super-2 number, since 2×124234100163442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423410016343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10413587012 + ... + 10413588204.

It is an arithmetic number, because the mean of its divisors is an integer number (189578782800).

Almost surely, 212423410016344 is an apocalyptic number.

It is an amenable number.

12423410016344 is a deficient number, since it is larger than the sum of its proper divisors (11842674182056).

12423410016344 is a wasteful number, since it uses less digits than its factorization.

12423410016344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 12423410016344 its reverse (44361001432421), we get a palindrome (56784411448765).

The spelling of 12423410016344 in words is "twelve trillion, four hundred twenty-three billion, four hundred ten million, sixteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 43 71 86 142 172 284 344 568 593 719 1186 1193 1438 2372 2386 2876 3053 4744 4772 5752 6106 9544 12212 24424 25499 30917 42103 50998 51049 51299 61834 84206 84703 101996 102098 102598 123668 168412 169406 203992 204196 205196 247336 336824 338812 408392 410392 426367 677624 707449 852734 857767 1414898 1705468 1715534 1810429 2195107 2829796 3410936 3431068 3620858 3642229 4390214 5659592 6862136 7241716 7284458 8780428 14483432 14568916 17560856 18333781 29137832 30272057 30420307 36667562 36883981 50228879 60544114 60840614 60901457 73335124 73767962 100457758 121088228 121681228 121802914 146670248 147535924 200915516 242176456 243362456 243605828 295071848 401831032 487211656 508655831 1017311662 1301698451 2034623324 2159841797 2603396902 2618762651 4069246648 4319683594 5206793804 5237525302 8639367188 10413587608 10475050604 17278734376 20950101208 21872200733 36114564001 43744401466 72229128002 87488802932 144458256004 174977605864 288916512008 1552926252043 3105852504086 6211705008172 12423410016344