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43742224734 = 231323731013307
BaseRepresentation
bin101000101111001111…
…010110000101011110
311011220110201020202120
4220233033112011132
51204041002142414
632032255403410
73105654526665
oct505717260536
9134813636676
1043742224734
111760738895a
128589223566
13418146b520
14218d5bdddc
1512102de2a9
hexa2f3d615e

43742224734 has 128 divisors (see below), whose sum is σ = 100674137088. Its totient is φ = 12568089600.

The previous prime is 43742224667. The next prime is 43742224777.

It is a happy number.

43742224734 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×437422247342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13225509 + ... + 13228815.

It is an arithmetic number, because the mean of its divisors is an integer number (786516696).

Almost surely, 243742224734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43742224734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50337068544).

43742224734 is an abundant number, since it is smaller than the sum of its proper divisors (56931912354).

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

43742224734 is a wasteful number, since it uses less digits than its factorization.

43742224734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522.

The product of its digits is 903168, while the sum is 42.

The spelling of 43742224734 in words is "forty-three billion, seven hundred forty-two million, two hundred twenty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 73 78 101 138 146 202 219 299 303 438 598 606 897 949 1313 1679 1794 1898 2323 2626 2847 3307 3358 3939 4646 5037 5694 6614 6969 7373 7878 9921 10074 13938 14746 19842 21827 22119 30199 42991 43654 44238 60398 65481 76061 85982 90597 95849 128973 130962 152122 169579 181194 191698 228183 241411 257946 287547 334007 339158 456366 482822 508737 575094 668014 724233 988793 1002021 1017474 1448466 1977586 2004042 2204527 2966379 3138343 4342091 4409054 5552453 5932758 6276686 6613581 7682161 8684182 9415029 11104906 13026273 13227162 15364322 16657359 18830058 23046483 24382511 26052546 33314718 46092966 48765022 72181889 73147533 99868093 144363778 146295066 199736186 216545667 299604279 316972643 433091334 560797753 599208558 633945286 950917929 1121595506 1682393259 1901835858 3364786518 7290370789 14580741578 21871112367 43742224734