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1434134222024 = 2374116722916333
BaseRepresentation
bin10100110111101001000…
…011111001010011001000
312002002202021112221022012
4110313221003321103020
5141444101330101044
63014455425315052
7205420116516230
oct24675103712310
95062667487265
101434134222024
11503238420539
121b1b40795a88
13a5313656a9a
144d5abb46cc0
1527489bc359e
hex14de90f94c8

1434134222024 has 128 divisors (see below), whose sum is σ = 3180974630400. Its totient is φ = 593408194560.

The previous prime is 1434134221997. The next prime is 1434134222041. The reversal of 1434134222024 is 4202224314341.

It is a happy 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, 87797762 + ... + 87814094.

It is an arithmetic number, because the mean of its divisors is an integer number (24851364300).

Almost surely, 21434134222024 is an apocalyptic number.

1434134222024 is a gapful number since it is divisible by the number (14) 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 1434134222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590487315200).

1434134222024 is an abundant number, since it is smaller than the sum of its proper divisors (1746840408376).

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

1434134222024 is a wasteful number, since it uses less digits than its factorization.

1434134222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1434134222024 its reverse (4202224314341), we get a palindrome (5636358536365).

The spelling of 1434134222024 in words is "one trillion, four hundred thirty-four billion, one hundred thirty-four million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 167 229 287 328 334 458 574 668 916 1148 1169 1336 1603 1832 2296 2338 3206 4676 6412 6847 9352 9389 12824 13694 16333 18778 27388 32666 37556 38243 47929 54776 65332 65723 75112 76486 95858 114331 130664 131446 152972 191716 228662 262892 267701 305944 383432 457324 525784 535402 669653 914648 1070804 1339306 1567963 2141608 2678612 2727611 3135926 3740257 4687571 5357224 5455222 6271852 7480514 9375142 10910444 10975741 12543704 14961028 18750284 19093277 21820888 21951482 26181799 29922056 37500568 38186554 43902964 52363598 76373108 87805928 104727196 111832051 152746216 153350537 209454392 223664102 306701074 447328204 613402148 624622919 782824357 894656408 1073453759 1226804296 1249245838 1565648714 2146907518 2498491676 3131297428 4293815036 4372360433 4996983352 6262594856 8587630072 8744720866 17489441732 25609539679 34978883464 51219079358 102438158716 179266777753 204876317432 358533555506 717067111012 1434134222024