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9940620144 = 24371310721269
BaseRepresentation
bin10010100001000000…
…11101001101110000
3221122210000211021110
421100200131031300
5130324244321034
64322221553320
7501223606560
oct112040351560
927583024243
109940620144
114241248054
121b15115840
13c255c9870
146a4306da0
153d2a7dde9
hex25081d370

9940620144 has 160 divisors (see below), whose sum is σ = 31902958080. Its totient is φ = 2597078016.

The previous prime is 9940620143. The next prime is 9940620161. The reversal of 9940620144 is 4410260499.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940620143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456742 + ... + 478010.

It is an arithmetic number, because the mean of its divisors is an integer number (199393488).

Almost surely, 29940620144 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 9940620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951479040).

9940620144 is an abundant number, since it is smaller than the sum of its proper divisors (21962337936).

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

9940620144 is a wasteful number, since it uses less digits than its factorization.

9940620144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21407 (or 21401 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 9940620144 is about 99702.6586606395. The cubic root of 9940620144 is about 2150.1618875037.

The spelling of 9940620144 in words is "nine billion, nine hundred forty million, six hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 107 112 156 168 182 208 214 273 312 321 336 364 428 546 624 642 728 749 856 1092 1284 1391 1456 1498 1712 2184 2247 2568 2782 2996 4173 4368 4494 5136 5564 5992 8346 8988 9737 11128 11984 16692 17976 19474 21269 22256 29211 33384 35952 38948 42538 58422 63807 66768 77896 85076 116844 127614 148883 155792 170152 233688 255228 276497 297766 340304 446649 467376 510456 552994 595532 829491 893298 1020912 1105988 1191064 1658982 1786596 1935479 2211976 2275783 2382128 3317964 3573192 3870958 4423952 4551566 5806437 6635928 6827349 7146384 7741916 9103132 11612874 13271856 13654698 15483832 15930481 18206264 23225748 27309396 29585179 30967664 31860962 36412528 46451496 47791443 54618792 59170358 63721924 88755537 92902992 95582886 109237584 118340716 127443848 177511074 191165772 207096253 236681432 254887696 355022148 382331544 414192506 473362864 621288759 710044296 764663088 828385012 1242577518 1420088592 1656770024 2485155036 3313540048 4970310072 9940620144