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145402266000 = 2435343355967
BaseRepresentation
bin1000011101101010100…
…1101000000110010000
3111220022100000102112010
42013122221220012100
54340240440003000
6150444043102520
713335126603645
oct2073251500620
9456270012463
10145402266000
1156734874592
122421ab11a40
1310932b766b4
147074cc3dcc
153bb0137d50
hex21daa68190

145402266000 has 160 divisors (see below), whose sum is σ = 469867926528. Its totient is φ = 38683699200.

The previous prime is 145402265933. The next prime is 145402266029. The reversal of 145402266000 is 662204541.

It is a super-2 number, since 2×1454022660002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2570017 + ... + 2625983.

Almost surely, 2145402266000 is an apocalyptic number.

145402266000 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 145402266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234933963264).

145402266000 is an abundant number, since it is smaller than the sum of its proper divisors (324465660528).

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

145402266000 is a wasteful number, since it uses less digits than its factorization.

145402266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56426 (or 56410 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 145402266000 in words is "one hundred forty-five billion, four hundred two million, two hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 433 500 600 750 866 1000 1200 1299 1500 1732 2000 2165 2598 3000 3464 4330 5196 6000 6495 6928 8660 10392 10825 12990 17320 20784 21650 25980 32475 34640 43300 51960 54125 55967 64950 86600 103920 108250 111934 129900 162375 167901 173200 216500 223868 259800 279835 324750 335802 433000 447736 519600 559670 649500 671604 839505 866000 895472 1119340 1299000 1343208 1399175 1679010 2238680 2598000 2686416 2798350 3358020 4197525 4477360 5596700 6716040 6995875 8395050 11193400 13432080 13991750 16790100 20987625 22386800 24233711 27983500 33580200 41975250 48467422 55967000 67160400 72701133 83950500 96934844 111934000 121168555 145402266 167901000 193869688 242337110 290804532 335802000 363505665 387739376 484674220 581609064 605842775 727011330 969348440 1163218128 1211685550 1454022660 1817528325 1938696880 2423371100 2908045320 3029213875 3635056650 4846742200 5816090640 6058427750 7270113300 9087641625 9693484400 12116855500 14540226600 18175283250 24233711000 29080453200 36350566500 48467422000 72701133000 145402266000