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1341234334032 = 2431767115321277
BaseRepresentation
bin10011100001000111110…
…010111100100101010000
311202012221221000122200220
4103201013302330211100
5133433321442142112
62504053214313040
7165621015506565
oct23410762744520
94665857018626
101341234334032
114778a58a76aa
12197b347b8780
1399629b02a68
1448cb7a6286c
1524d4de7a98c
hex13847cbc950

1341234334032 has 160 divisors (see below), whose sum is σ = 3726831146112. Its totient is φ = 414120148992.

The previous prime is 1341234334031. The next prime is 1341234334067. The reversal of 1341234334032 is 2304334321431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1341234333984 and 1341234334002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341234334031) 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, 63026178 + ... + 63047454.

Almost surely, 21341234334032 is an apocalyptic number.

1341234334032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341234334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863415573056).

1341234334032 is an abundant number, since it is smaller than the sum of its proper divisors (2385596812080).

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

1341234334032 is a wasteful number, since it uses less digits than its factorization.

1341234334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22525 (or 22519 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 1341234334032 its reverse (2304334321431), we get a palindrome (3645568655463).

The spelling of 1341234334032 in words is "one trillion, three hundred forty-one billion, two hundred thirty-four million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 1072 1139 1153 1608 2278 2306 3216 3417 3459 4556 4612 6834 6918 9112 9224 13668 13836 18224 18448 19601 21277 27336 27672 39202 42554 54672 55344 58803 63831 77251 78404 85108 117606 127662 154502 156808 170216 231753 235212 255324 309004 313616 340432 361709 463506 470424 510648 618008 723418 927012 940848 1021296 1085127 1236016 1313267 1425559 1446836 1854024 2170254 2626534 2851118 2893672 3708048 3939801 4276677 4340508 5253068 5702236 5787344 7879602 8553354 8681016 10506136 11404472 15759204 17106708 17362032 21012272 22808944 24234503 24532381 31518408 34213416 48469006 49064762 63036816 68426832 72703509 73597143 96938012 98129524 145407018 147194286 193876024 196259048 290814036 294388572 387752048 392518096 417050477 581628072 588777144 834100954 1163256144 1177554288 1251151431 1643669527 1668201908 2502302862 3287339054 3336403816 4931008581 5004605724 6574678108 6672807632 9862017162 10009211448 13149356216 19724034324 20018422896 26298712432 27942381959 39448068648 55884763918 78896137296 83827145877 111769527836 167654291754 223539055672 335308583508 447078111344 670617167016 1341234334032