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146156346240 = 2735372057381
BaseRepresentation
bin1000100000011110011…
…0001101101110000000
3111222020212221200010220
42020013212031232000
54343312011034430
6151050541423040
713362614305422
oct2100746155600
9458225850126
10146156346240
1156a914a11a3
12243ab56aa80
1310a2316c418
1471070d8812
153c0643e110
hex220798db80

146156346240 has 128 divisors (see below), whose sum is σ = 478464757920. Its totient is φ = 37921628160.

The previous prime is 146156346221. The next prime is 146156346269. The reversal of 146156346240 is 42643651641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 146156346192 and 146156346201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957651 + ... + 1099730.

Almost surely, 2146156346240 is an apocalyptic number.

146156346240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146156346240 is an abundant number, since it is smaller than the sum of its proper divisors (332308411680).

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

146156346240 is a wasteful number, since it uses less digits than its factorization.

146156346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057440 (or 2057428 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 146156346240 its reverse (42643651641), we get a palindrome (188799997881).

The spelling of 146156346240 in words is "one hundred forty-six billion, one hundred fifty-six million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 35520 71040 2057381 4114762 6172143 8229524 10286905 12344286 16459048 20573810 24688572 30860715 32918096 41147620 49377144 61721430 65836192 76123097 82295240 98754288 123442860 131672384 152246194 164590480 197508576 228369291 246885720 263344768 304492388 329180960 380615485 395017152 456738582 493771440 608984776 658361920 761230970 790034304 913477164 987542880 1141846455 1217969552 1316723840 1522461940 1826954328 1975085760 2283692910 2435939104 3044923880 3653908656 3950171520 4567385820 4871878208 6089847760 7307817312 9134771640 9743756416 12179695520 14615634624 18269543280 24359391040 29231269248 36539086560 48718782080 73078173120 146156346240