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4542121622440 = 23519173199717299
BaseRepresentation
bin100001000011000101110…
…0010111011101110101000
3121002020000021011112112001
41002012023202323232220
51043404231113404230
613354342153500344
7646105002524443
oct102061342735650
917066007145461
104542121622440
1114a1337274486
126143634116b4
1326c42171764c
14119ba880865a
157d23e9ae0ca
hex4218b8bbba8

4542121622440 has 128 divisors (see below), whose sum is σ = 10825883280000. Its totient is φ = 1710319961088.

The previous prime is 4542121622393. The next prime is 4542121622477. The reversal of 4542121622440 is 442261212454.

It is a self number, because there is not a number n which added to its sum of digits gives 4542121622440.

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, 262556911 + ... + 262574209.

It is an arithmetic number, because the mean of its divisors is an integer number (84577213125).

Almost surely, 24542121622440 is an apocalyptic number.

4542121622440 is a gapful number since it is divisible by the number (40) 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 4542121622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412941640000).

4542121622440 is an abundant number, since it is smaller than the sum of its proper divisors (6283761657560).

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

4542121622440 is a wasteful number, since it uses less digits than its factorization.

4542121622440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19499 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 4542121622440 its reverse (442261212454), we get a palindrome (4984382834894).

The spelling of 4542121622440 in words is "four trillion, five hundred forty-two billion, one hundred twenty-one million, six hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 1997 3287 3460 3994 6574 6920 7988 9985 13148 15976 16435 17299 19970 26296 32870 34598 37943 39940 65740 69196 75886 79880 86495 131480 138392 151772 172990 189715 303544 328681 345481 345980 379430 657362 690962 691960 758860 1314724 1381924 1517720 1643405 1727405 2629448 2763848 2992727 3286810 3454810 5985454 6564139 6573620 6909620 11970908 13128278 13147240 13819240 14963635 23941816 26256556 29927270 32820695 34546103 52513112 56861813 59854540 65641390 69092206 113723626 119709080 131282780 138184412 172730515 227447252 262565560 276368824 284309065 345461030 454894504 568618130 656375957 690922060 1137236260 1312751914 1381844120 2274472520 2625503828 3281879785 5251007656 5976475819 6563759570 11952951638 13127519140 23905903276 26255038280 29882379095 47811806552 59764758190 113553040561 119529516380 227106081122 239059032760 454212162244 567765202805 908424324488 1135530405610 2271060811220 4542121622440