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145344244460536 = 231131127717758453
BaseRepresentation
bin100001000011000010011000…
…000011111010101111111000
3201001121202220022001011112001
4201003002120003322233320
5123022310003040214121
61233042120225030344
742420526604502112
oct4103023003725770
9631552808034461
10145344244460536
1142347169977070
12143748314853b4
136313b98b2a714
1427c69add703b2
1511c0b0d816991
hex8430980fabf8

145344244460536 has 128 divisors (see below), whose sum is σ = 309350015631360. Its totient is φ = 63421074662400.

The previous prime is 145344244460497. The next prime is 145344244460557. The reversal of 145344244460536 is 635064442443541.

It is a super-2 number, since 2×1453442444605362 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 2486485486 + ... + 2486543938.

It is an arithmetic number, because the mean of its divisors is an integer number (2416796997120).

Almost surely, 2145344244460536 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 145344244460536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154675007815680).

145344244460536 is an abundant number, since it is smaller than the sum of its proper divisors (164005771170824).

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

145344244460536 is a wasteful number, since it uses less digits than its factorization.

145344244460536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65805 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 55.

The spelling of 145344244460536 in words is "one hundred forty-five trillion, three hundred forty-four billion, two hundred forty-four million, four hundred sixty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 127 248 254 341 508 682 1016 1364 1397 2728 2794 3937 5588 7177 7874 11176 14354 15748 28708 31496 43307 57416 58453 78947 86614 116906 157894 173228 222487 233812 315788 346456 444974 467624 631576 642983 889948 911479 1285966 1779896 1812043 1822958 2447357 2571932 3624086 3645916 4894714 5143864 7248172 7291832 7423531 9789428 10026269 14496344 14847062 19578856 19932473 20052538 28255849 29694124 39864946 40105076 56511698 59388248 79729892 80210152 81658841 113023396 159459784 163317682 226046792 230129461 310814339 326635364 419517181 460258922 621628678 653270728 839034362 920517844 1243257356 1678068724 1841035688 2486514712 2531424071 3356137448 4614688991 5062848142 9229377982 10125696284 13005032611 18458755964 20251392568 26010065222 36917511928 52020130444 53278681987 104040260888 106557363974 143055358721 213114727948 286110717442 426229455896 572221434884 586065501857 1144442869768 1172131003714 1651639141597 2344262007428 3303278283194 4688524014856 6606556566388 13213113132776 18168030557567 36336061115134 72672122230268 145344244460536