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145222805040 = 24359716093877
BaseRepresentation
bin1000011100111111110…
…1000010011000110000
3111212211211022212100220
42013033331002120300
54334404014230130
6150414152413040
713330520322105
oct2071775023060
9455754285326
10145222805040
115665253a945
122418a9a7180
1310904930c91
14705912aaac
153b9e4d9410
hex21cff42630

145222805040 has 160 divisors (see below), whose sum is σ = 455231904960. Its totient is φ = 38293143552.

The previous prime is 145222805033. The next prime is 145222805053. The reversal of 145222805040 is 40508222541.

It is a junction number, because it is equal to n+sod(n) for n = 145222804992 and 145222805010.

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, 37455582 + ... + 37459458.

It is an arithmetic number, because the mean of its divisors is an integer number (2845199406).

Almost surely, 2145222805040 is an apocalyptic number.

145222805040 is a gapful number since it is divisible by the number (10) 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 145222805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227615952480).

145222805040 is an abundant number, since it is smaller than the sum of its proper divisors (310009099920).

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

145222805040 is a wasteful number, since it uses less digits than its factorization.

145222805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 145222805040 in words is "one hundred forty-five billion, two hundred twenty-two million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1609 1940 2328 2910 3218 3877 3880 4656 4827 5820 6436 7754 7760 8045 9654 11631 11640 12872 15508 16090 19308 19385 23262 23280 24135 25744 31016 32180 38616 38770 46524 48270 58155 62032 64360 77232 77540 93048 96540 116310 128720 155080 156073 186096 193080 232620 310160 312146 376069 386160 465240 468219 624292 752138 780365 930480 936438 1128207 1248584 1504276 1560730 1872876 1880345 2256414 2341095 2497168 3008552 3121460 3745752 3760690 4512828 4682190 5641035 6017104 6238093 6242920 7491504 7521380 9025656 9364380 11282070 12476186 12485840 15042760 18051312 18714279 18728760 22564140 24952372 30085520 31190465 37428558 37457520 45128280 49904744 62380930 74857116 90256560 93571395 99809488 124761860 149714232 187142790 249523720 299428464 374285580 499047440 605095021 748571160 1210190042 1497142320 1815285063 2420380084 3025475105 3630570126 4840760168 6050950210 7261140252 9076425315 9681520336 12101900420 14522280504 18152850630 24203800840 29044561008 36305701260 48407601680 72611402520 145222805040