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145335411036 = 223247701122533
BaseRepresentation
bin1000011101011010101…
…0100110000101011100
3111220010200012211202100
42013112222212011130
54340121331123121
6150433254125100
713333355416344
oct2072652460534
9456120184670
10145335411036
1156700061452
1224200650790
131092206954a
14706a07dd24
153ba932e026
hex21d6aa615c

145335411036 has 72 divisors (see below), whose sum is σ = 375730415424. Its totient is φ = 47346364800.

The previous prime is 145335411031. The next prime is 145335411037. The reversal of 145335411036 is 630114533541.

145335411036 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 541 + 103 + 6 = 666.

It is a super-2 number, since 2×1453354110362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335411031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124826 + ... + 1247358.

It is an arithmetic number, because the mean of its divisors is an integer number (5218477992).

Almost surely, 2145335411036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145335411036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187865207712).

145335411036 is an abundant number, since it is smaller than the sum of its proper divisors (230395004388).

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

145335411036 is a wasteful number, since it uses less digits than its factorization.

145335411036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123291 (or 123286 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 145335411036 its reverse (630114533541), we get a palindrome (775449944577).

The spelling of 145335411036 in words is "one hundred forty-five billion, three hundred thirty-five million, four hundred eleven thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 701 846 1402 1692 2103 2804 4206 6309 8412 12618 25236 32947 65894 98841 122533 131788 197682 245066 296523 367599 395364 490132 593046 735198 1102797 1186092 1470396 2205594 4411188 5759051 11518102 17277153 23036204 34554306 51831459 69108612 85895633 103662918 171791266 207325836 257686899 343582532 515373798 773060697 1030747596 1546121394 3092242788 4037094751 8074189502 12111284253 16148379004 24222568506 36333852759 48445137012 72667705518 145335411036