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145615035300 = 223527491141223
BaseRepresentation
bin1000011110011101010…
…1010001101110100100
3111220212011101020010120
42013213111101232210
54341204422112200
6150521123321540
713343322243420
oct2074725215644
9456764336116
10145615035300
1156833989289
122427a2202b0
1310967c81ba7
14709526bb80
153bc3b659a0
hex21e7551ba4

145615035300 has 144 divisors (see below), whose sum is σ = 482484452352. Its totient is φ = 33215414400.

The previous prime is 145615035299. The next prime is 145615035301. The reversal of 145615035300 is 3530516541.

145615035300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145615035299) and next prime (145615035301).

It is not an unprimeable number, because it can be changed into a prime (145615035301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 960489 + ... + 1101711.

Almost surely, 2145615035300 is an apocalyptic number.

145615035300 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 145615035300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241242226176).

145615035300 is an abundant number, since it is smaller than the sum of its proper divisors (336869417052).

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

145615035300 is a wasteful number, since it uses less digits than its factorization.

145615035300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141738 (or 141731 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 145615035300 in words is "one hundred forty-five billion, six hundred fifteen million, thirty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 491 525 700 982 1050 1473 1964 2100 2455 2946 3437 4910 5892 6874 7365 9820 10311 12275 13748 14730 17185 20622 24550 29460 34370 36825 41244 49100 51555 68740 73650 85925 103110 141223 147300 171850 206220 257775 282446 343700 423669 515550 564892 706115 847338 988561 1031100 1412230 1694676 1977122 2118345 2824460 2965683 3530575 3954244 4236690 4942805 5931366 7061150 8473380 9885610 10591725 11862732 14122300 14828415 19771220 21183450 24714025 29656830 42366900 49428050 59313660 69340493 74142075 98856100 138680986 148284150 208021479 277361972 296568300 346702465 416042958 485383451 693404930 832085916 970766902 1040107395 1386809860 1456150353 1733512325 1941533804 2080214790 2426917255 2912300706 3467024650 4160429580 4853834510 5200536975 5824601412 6934049300 7280751765 9707669020 10401073950 12134586275 14561503530 20802147900 24269172550 29123007060 36403758825 48538345100 72807517650 145615035300