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40051505124 = 2232231071672707
BaseRepresentation
bin100101010011010000…
…010111011111100100
310211101020222021020200
4211103100113133210
51124011141130444
630222134430500
72615341114341
oct452320273744
9124336867220
1040051505124
1115a93037664
127919202430
133a13946a77
141d1d3777c8
1510962ac969
hex9534177e4

40051505124 has 144 divisors (see below), whose sum is σ = 107308551168. Its totient is φ = 12570300864.

The previous prime is 40051505119. The next prime is 40051505141. The reversal of 40051505124 is 42150515004.

40051505124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14794179 + ... + 14796885.

It is an arithmetic number, because the mean of its divisors is an integer number (745198272).

Almost surely, 240051505124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40051505124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53654275584).

40051505124 is an abundant number, since it is smaller than the sum of its proper divisors (67257046044).

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

40051505124 is a wasteful number, since it uses less digits than its factorization.

40051505124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 40051505124 in words is "forty billion, fifty-one million, five hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 107 138 167 207 214 276 321 334 414 428 501 642 668 828 963 1002 1284 1503 1926 2004 2461 2707 3006 3841 3852 4922 5414 6012 7383 7682 8121 9844 10828 11523 14766 15364 16242 17869 22149 23046 24363 29532 32484 34569 35738 44298 46092 48726 53607 62261 69138 71476 88596 97452 107214 124522 138276 160821 186783 214428 249044 289649 321642 373566 410987 452069 560349 579298 643284 747132 821974 868947 904138 1120698 1158596 1232961 1356207 1643948 1737894 1808276 2241396 2465922 2606841 2712414 3475788 3698883 4068621 4931844 5213682 5424828 6661927 7397766 8137242 10397587 10427364 13323854 14795532 16274484 19985781 20795174 26647708 31192761 39971562 41590348 48371383 59957343 62385522 79943124 93578283 96742766 119914686 124771044 145114149 187156566 193485532 239829372 290228298 374313132 435342447 580456596 870684894 1112541809 1741369788 2225083618 3337625427 4450167236 6675250854 10012876281 13350501708 20025752562 40051505124