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145236026552344 = 23713347702781817
BaseRepresentation
bin100001000001011101100101…
…110001010111000000011000
3201001020102120101221211112021
4201001131211301113000120
5123014021340244133334
61232520302015424224
742406646062451440
oct4101354561270030
9631212511854467
10145236026552344
1142305286769a02
121435786b525074
1363069108c0610
1427c1665721120
1511bcdc7ddb3b4
hex841765c57018

145236026552344 has 128 divisors (see below), whose sum is σ = 336177882754560. Its totient is φ = 57281578195968.

The previous prime is 145236026552233. The next prime is 145236026552359. The reversal of 145236026552344 is 443255620632541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 145236026552291 and 145236026552300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775091724 + ... + 1775173540.

It is an arithmetic number, because the mean of its divisors is an integer number (2626389709020).

Almost surely, 2145236026552344 is an apocalyptic number.

145236026552344 is a gapful number since it is divisible by the number (14) 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 145236026552344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168088941377280).

145236026552344 is an abundant number, since it is smaller than the sum of its proper divisors (190941856202216).

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

145236026552344 is a wasteful number, since it uses less digits than its factorization.

145236026552344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89217 (or 89213 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 52.

The spelling of 145236026552344 in words is "one hundred forty-five trillion, two hundred thirty-six billion, twenty-six million, five hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 347 364 694 728 1388 2429 2776 4511 4858 7027 9022 9716 14054 18044 19432 28108 31577 36088 49189 56216 63154 81817 91351 98378 126308 163634 182702 196756 252616 327268 365404 393512 572719 639457 654536 730808 1063621 1145438 1278914 2127242 2290876 2438369 2557828 4254484 4581752 4876738 5115656 7445347 8508968 9753476 14890694 17068583 19506952 28390499 29781388 31698797 34137166 56780998 59562776 63397594 68274332 113561996 126795188 136548664 198733493 221891579 227123992 253590376 369076487 397466986 443783158 574928059 738152974 794933972 887566316 1149856118 1476305948 1589867944 1775132632 2299712236 2583535409 2952611896 4024496413 4599424472 5167070818 7474064767 8048992826 10334141636 14948129534 16097985652 20668283272 29896259068 32195971304 52318453369 59792518136 104636906738 199500036473 209273813476 399000072946 418547626952 798000145892 1396500255311 1596000291784 2593500474149 2793000510622 5187000948298 5586001021244 10374001896596 11172002042488 18154503319043 20748003793192 36309006638086 72618013276172 145236026552344