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534422151440 = 24531796174421
BaseRepresentation
bin1111100011011100000…
…10101110000100010000
31220002102210120011222022
413301232002232010100
532223444032321230
61045302105231012
753416323223112
oct7615602560420
91802383504868
10534422151440
11196713410341
12876a8a92468
133b51b730618
141bc1aab13b2
15dd7cabe1e5
hex7c6e0ae110

534422151440 has 160 divisors (see below), whose sum is σ = 1301248143360. Its totient is φ = 203877273600.

The previous prime is 534422151433. The next prime is 534422151449. The reversal of 534422151440 is 44151224435.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 534422151440.

It is not an unprimeable number, because it can be changed into a prime (534422151449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120880430 + ... + 120884850.

It is an arithmetic number, because the mean of its divisors is an integer number (8132800896).

Almost surely, 2534422151440 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 534422151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650624071680).

534422151440 is an abundant number, since it is smaller than the sum of its proper divisors (766825991920).

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

534422151440 is a wasteful number, since it uses less digits than its factorization.

534422151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 534422151440 its reverse (44151224435), we get a palindrome (578573375875).

The spelling of 534422151440 in words is "five hundred thirty-four billion, four hundred twenty-two million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 155 158 248 310 316 395 496 617 620 632 790 1234 1240 1264 1580 2449 2468 2480 3085 3160 4421 4898 4936 6170 6320 8842 9796 9872 12245 12340 17684 19127 19592 22105 24490 24680 35368 38254 39184 44210 48743 48980 49360 70736 76508 88420 95635 97486 97960 137051 153016 176840 191270 194972 195920 243715 274102 306032 349259 353680 382540 389944 487430 548204 685255 698518 765080 779888 974860 1096408 1370510 1397036 1511033 1530160 1746295 1949720 2192816 2727757 2741020 2794072 3022066 3492590 3899440 5455514 5482040 5588144 6044132 6985180 7555165 10827029 10911028 10964080 12088264 13638785 13970360 15110330 21654058 21822056 24176528 27277570 27940720 30220660 43308116 43644112 54135145 54555140 60441320 84560467 86616232 108270290 109110280 120882640 169120934 173232464 215492803 216540580 218220560 338241868 422802335 430985606 433081160 676483736 845604670 861971212 866162320 1077464015 1352967472 1691209340 1723942424 2154928030 3382418680 3447884848 4309856060 6680276893 6764837360 8619712120 13360553786 17239424240 26721107572 33401384465 53442215144 66802768930 106884430288 133605537860 267211075720 534422151440