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145413523420 = 2251131113188687
BaseRepresentation
bin1000011101101101010…
…0100100011111011100
3111220100010012100210121
42013123110210133130
54340301330222140
6150445124244324
713335324361264
oct2073324443734
9456303170717
10145413523420
1156740163440
12242228406a4
13109352b86a9
1470765b47a4
153bb110d64a
hex21db5247dc

145413523420 has 96 divisors (see below), whose sum is σ = 346920247296. Its totient is φ = 50718796800.

The previous prime is 145413523397. The next prime is 145413523429. The reversal of 145413523420 is 24325314541.

It is a super-2 number, since 2×1454135234202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145413523429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676317 + ... + 865003.

It is an arithmetic number, because the mean of its divisors is an integer number (3613752576).

Almost surely, 2145413523420 is an apocalyptic number.

145413523420 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 145413523420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173460123648).

145413523420 is an abundant number, since it is smaller than the sum of its proper divisors (201506723876).

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

145413523420 is a wasteful number, since it uses less digits than its factorization.

145413523420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188851 (or 188849 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 145413523420 its reverse (24325314541), we get a palindrome (169738837961).

The spelling of 145413523420 in words is "one hundred forty-five billion, four hundred thirteen million, five hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 113 124 155 220 226 310 341 452 565 620 682 1130 1243 1364 1705 2260 2486 3410 3503 4972 6215 6820 7006 12430 14012 17515 24860 35030 38533 70060 77066 154132 188687 192665 377374 385330 754748 770660 943435 1886870 2075557 3773740 4151114 5849297 8302228 10377785 11698594 20755570 21321631 23397188 29246485 41511140 42643262 58492970 64342267 85286524 106608155 116985940 128684534 213216310 234537941 257369068 321711335 426432620 469075882 643422670 660970561 938151764 1172689705 1286845340 1321941122 2345379410 2643882244 3304852805 4690758820 6609705610 7270676171 13219411220 14541352342 29082704684 36353380855 72706761710 145413523420