Search a number
-
+
1446745160190 = 235115974306377
BaseRepresentation
bin10101000011011000101…
…110110011100111111110
312010022022011020222021010
4111003120232303213332
5142200413230111230
63024343041420050
7206344456646631
oct25033056634776
95108264228233
101446745160190
11508619a20a90
121b448003a626
13a6573246a85
1450046957c18
1527976dc29b0
hex150d8bb39fe

1446745160190 has 64 divisors (see below), whose sum is σ = 3852042635520. Its totient is φ = 344781584640.

The previous prime is 1446745160183. The next prime is 1446745160221. The reversal of 1446745160190 is 910615476441.

It is a super-2 number, since 2×14467451601902 (a number of 25 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 31 ways as a sum of consecutive naturals, for example, 37133719 + ... + 37172658.

It is an arithmetic number, because the mean of its divisors is an integer number (60188166180).

Almost surely, 21446745160190 is an apocalyptic number.

1446745160190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1446745160190 is an abundant number, since it is smaller than the sum of its proper divisors (2405297475330).

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

1446745160190 is a wasteful number, since it uses less digits than its factorization.

1446745160190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74306457.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1446745160190 in words is "one trillion, four hundred forty-six billion, seven hundred forty-five million, one hundred sixty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3894 6490 9735 19470 74306377 148612754 222919131 371531885 445838262 743063770 817370147 1114595655 1634740294 2229191310 2452110441 4086850735 4384076243 4904220882 8173701470 8768152486 12260552205 13152228729 21920381215 24521104410 26304457458 43840762430 48224838673 65761143645 96449677346 131522287290 144674516019 241124193365 289349032038 482248386730 723372580095 1446745160190