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23343404241432 = 233113713681174679
BaseRepresentation
bin1010100111011000011110…
…10100010101001000011000
310001122121101222101201200110
411103230033110111020120
511024424242441211212
6121351451210204320
74626335214123312
oct523541724251030
9101577358351613
1023343404241432
11748a978151020
122750136a236a0
131004373074322
145a9b80a167b2
152a7337564a3c
hex153b0f515218

23343404241432 has 128 divisors (see below), whose sum is σ = 65389627353600. Its totient is φ = 6882033715200.

The previous prime is 23343404241383. The next prime is 23343404241449. The reversal of 23343404241432 is 23414240434332.

It is a happy number.

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, 133548669 + ... + 133723347.

It is an arithmetic number, because the mean of its divisors is an integer number (510856463700).

Almost surely, 223343404241432 is an apocalyptic number.

23343404241432 is a gapful number since it is divisible by the number (22) 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 23343404241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32694813676800).

23343404241432 is an abundant number, since it is smaller than the sum of its proper divisors (42046223112168).

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

23343404241432 is a wasteful number, since it uses less digits than its factorization.

23343404241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188417 (or 188413 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 23343404241432 its reverse (23414240434332), we get a palindrome (46757644675764).

The spelling of 23343404241432 in words is "twenty-three trillion, three hundred forty-three billion, four hundred four million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 13681 27362 41043 54724 82086 109448 150491 164172 174679 300982 328344 349358 451473 506197 524037 601964 698716 902946 1012394 1048074 1203928 1397432 1518591 1805892 1921469 2024788 2096148 3037182 3611784 3842938 4049576 4192296 5568167 5764407 6074364 6463123 7685876 11136334 11528814 12148728 12926246 15371752 16704501 19389369 22272668 23057628 25852492 33409002 38778738 44545336 46115256 51704984 66818004 71094353 77557476 133636008 142188706 155114952 213283059 284377412 426566118 568754824 853132236 1706264472 2389783399 4779566798 7169350197 9559133596 14338700394 19118267192 26287617389 28677400788 52575234778 57354801576 78862852167 88421985763 105150469556 157725704334 176843971526 210300939112 265265957289 315451408668 353687943052 530531914578 630902817336 707375886104 972641843393 1061063829156 1945283686786 2122127658312 2917925530179 3890567373572 5835851060358 7781134747144 11671702120716 23343404241432