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145420405020 = 223251173444649
BaseRepresentation
bin1000011101101110111…
…0110100100100011100
3111220100121010222120200
42013123232310210130
54340310110430040
6150445531543500
713335440022252
oct2073356644434
9456317128520
10145420405020
1156744033710
1224224bbab90
1310936857a47
1470774865d2
153bb1a1c630
hex21dbbb491c

145420405020 has 72 divisors (see below), whose sum is σ = 481209346800. Its totient is φ = 35253431040.

The previous prime is 145420404991. The next prime is 145420405093. The reversal of 145420405020 is 20504024541.

145420405020 is a `hidden beast` number, since 1 + 454 + 204 + 0 + 5 + 0 + 2 + 0 = 666.

145420405020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454204050202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36720345 + ... + 36724304.

It is an arithmetic number, because the mean of its divisors is an integer number (6683463150).

Almost surely, 2145420405020 is an apocalyptic number.

145420405020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145420405020 is an abundant number, since it is smaller than the sum of its proper divisors (335788941780).

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

145420405020 is a wasteful number, since it uses less digits than its factorization.

145420405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73444675 (or 73444670 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 145420405020 its reverse (20504024541), we get a palindrome (165924429561).

The spelling of 145420405020 in words is "one hundred forty-five billion, four hundred twenty million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 73444649 146889298 220333947 293778596 367223245 440667894 661001841 734446490 807891139 881335788 1101669735 1322003682 1468892980 1615782278 2203339470 2423673417 2644007364 3231564556 3305009205 4039455695 4406678940 4847346834 6610018410 7271020251 8078911390 9694693668 12118367085 13220036820 14542040502 16157822780 24236734170 29084081004 36355101255 48473468340 72710202510 145420405020