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140720332224 = 26353127108887
BaseRepresentation
bin1000001100001110010…
…1011101110111000000
3111110020001010112210110
42003003211131313000
54301143401112344
6144351313031320
713111116042153
oct2030345356700
9443201115713
10140720332224
1154751a6042a
1223332b55540
1310367b9ca94
146b4d179c9a
1539d90ad3b9
hex20c395ddc0

140720332224 has 112 divisors (see below), whose sum is σ = 382337998848. Its totient is φ = 45658948608.

The previous prime is 140720332211. The next prime is 140720332241. The reversal of 140720332224 is 422233027041.

It is a junction number, because it is equal to n+sod(n) for n = 140720332191 and 140720332200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237909 + ... + 1346795.

Almost surely, 2140720332224 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 140720332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191168999424).

140720332224 is an abundant number, since it is smaller than the sum of its proper divisors (241617666624).

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

140720332224 is a wasteful number, since it uses less digits than its factorization.

140720332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109082 (or 109072 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 140720332224 its reverse (422233027041), we get a palindrome (562953359265).

The spelling of 140720332224 in words is "one hundred forty billion, seven hundred twenty million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 159 192 212 254 318 381 424 508 636 762 848 1016 1272 1524 1696 2032 2544 3048 3392 4064 5088 6096 6731 8128 10176 12192 13462 20193 24384 26924 40386 53848 80772 107696 108887 161544 215392 217774 323088 326661 430784 435548 646176 653322 871096 1292352 1306644 1742192 2613288 3484384 5226576 5771011 6968768 10453152 11542022 13828649 17313033 20906304 23084044 27657298 34626066 41485947 46168088 55314596 69252132 82971894 92336176 110629192 138504264 165943788 184672352 221258384 277008528 331887576 369344704 442516768 554017056 663775152 732918397 885033536 1108034112 1327550304 1465836794 2198755191 2655100608 2931673588 4397510382 5863347176 8795020764 11726694352 17590041528 23453388704 35180083056 46906777408 70360166112 140720332224