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146325655056 = 24374126340387
BaseRepresentation
bin1000100001000110110…
…0000100111000010000
3111222200200112110011210
42020101230010320100
54344133331430211
6151115430340120
713400041355220
oct2102154047020
9458620473153
10146325655056
1157069021439
12244381ba640
1310a4c26bc59
1471217ac080
153c162349a6
hex2211b04e10

146325655056 has 160 divisors (see below), whose sum is σ = 444239566848. Its totient is φ = 40631546880.

The previous prime is 146325655043. The next prime is 146325655057. The reversal of 146325655056 is 650556523641.

It is a super-2 number, since 2×1463256550562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 146325654996 and 146325655014.

It is not an unprimeable number, because it can be changed into a prime (146325655057) 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, 3602895 + ... + 3643281.

Almost surely, 2146325655056 is an apocalyptic number.

146325655056 is a gapful number since it is divisible by the number (16) 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 146325655056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222119783424).

146325655056 is an abundant number, since it is smaller than the sum of its proper divisors (297913911792).

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

146325655056 is a wasteful number, since it uses less digits than its factorization.

146325655056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40709 (or 40703 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 146325655056 in words is "one hundred forty-six billion, three hundred twenty-five million, six hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 263 287 328 336 492 526 574 656 789 861 984 1052 1148 1578 1722 1841 1968 2104 2296 3156 3444 3682 4208 4592 5523 6312 6888 7364 10783 11046 12624 13776 14728 21566 22092 29456 32349 40387 43132 44184 64698 75481 80774 86264 88368 121161 129396 150962 161548 172528 226443 242322 258792 282709 301924 323096 452886 484644 517584 565418 603848 646192 848127 905772 969288 1130836 1207696 1655867 1696254 1811544 1938576 2261672 3311734 3392508 3623088 4523344 4967601 6623468 6785016 9935202 10621781 11591069 13246936 13570032 19870404 21243562 23182138 26493872 31865343 34773207 39740808 42487124 46364276 63730686 69546414 74352467 79481616 84974248 92728552 127461372 139092828 148704934 169948496 185457104 223057401 254922744 278185656 297409868 435493021 446114802 509845488 556371312 594819736 870986042 892229604 1189639472 1306479063 1741972084 1784459208 2612958126 3048451147 3483944168 3568918416 5225916252 6096902294 6967888336 9145353441 10451832504 12193804588 18290706882 20903665008 24387609176 36581413764 48775218352 73162827528 146325655056