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144434324422242 = 236897589146669
BaseRepresentation
bin100000110101110010111100…
…100110011011111001100010
3200221101210020101221221000000
4200311302330212123321202
5122412402444023002432
61231104113532440430
742265015130003121
oct4065627446337142
9627353211857000
10144434324422242
1142026286817718
121424840b019116
1362791380ccc8a
1427949312bbab8
1511a710547457c
hex835cbc99be62

144434324422242 has 112 divisors (see below), whose sum is σ = 328523918283000. Its totient is φ = 47597225018112.

The previous prime is 144434324422231. The next prime is 144434324422253. The reversal of 144434324422242 is 242224423434441.

144434324422242 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 343 + 2 + 44 + 22 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (144434324422231) and next prime (144434324422253).

It can be written as a sum of positive squares in 4 ways, for example, as 65174636832561 + 79259687589681 = 8073081^2 + 8902791^2 .

It is a super-2 number, since 2×1444343244222422 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 984690484 + ... + 984837152.

Almost surely, 2144434324422242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144434324422242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164261959141500).

144434324422242 is an abundant number, since it is smaller than the sum of its proper divisors (184089593860758).

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

144434324422242 is an equidigital number, since it uses as much as digits as its factorization.

144434324422242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154367 (or 154352 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 45.

Adding to 144434324422242 its reverse (242224423434441), we get a palindrome (386658747856683).

The spelling of 144434324422242 in words is "one hundred forty-four trillion, four hundred thirty-four billion, three hundred twenty-four million, four hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2403 4806 7209 7589 14418 15178 21627 22767 43254 45534 64881 68301 129762 136602 146669 204903 293338 409806 440007 614709 675421 880014 1229418 1320021 1350842 1844127 2026263 2640042 3688254 3960063 4052526 5532381 6078789 7920126 11064762 11880189 12157578 13053541 18236367 23760378 26107082 35640567 36472734 39160623 54709101 71281134 78321246 106921701 109418202 117481869 164127303 213843402 234963738 328254606 352445607 492381909 704891214 984763818 1057336821 1113071041 2114673642 2226142082 3172010463 3339213123 6344020926 6678426246 9516031389 10017639369 19032062778 20035278738 30052918107 60105836214 90158754321 99063322649 180317508642 198126645298 270476262963 297189967947 540952525926 594379935894 811428788889 891569903841 1622857577778 1783139807682 2674709711523 5349419423046 8024129134569 16048258269138 24072387403707 48144774807414 72217162211121 144434324422242