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20416142601140 = 225111343166011893
BaseRepresentation
bin1001010010001100000001…
…11011010110101110110100
32200021202122002011222102212
410221012000323112232310
510133444230001214030
6111231014010152552
74205006021535656
oct451060073265664
980252562158385
1020416142601140
11656148a283610
122358950a22758
13b513070b6570
1450820a2b26d6
1525610da42595
hex129180ed6bb4

20416142601140 has 96 divisors (see below), whose sum is σ = 51540716658816. Its totient is φ = 6693599485440.

The previous prime is 20416142601137. The next prime is 20416142601161. The reversal of 20416142601140 is 4110624161402.

It is a junction number, because it is equal to n+sod(n) for n = 20416142601097 and 20416142601106.

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, 82882967 + ... + 83128926.

It is an arithmetic number, because the mean of its divisors is an integer number (536882465196).

Almost surely, 220416142601140 is an apocalyptic number.

20416142601140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20416142601140 is an abundant number, since it is smaller than the sum of its proper divisors (31124574057676).

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

20416142601140 is a wasteful number, since it uses less digits than its factorization.

20416142601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166011969 (or 166011967 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 20416142601140 its reverse (4110624161402), we get a palindrome (24526766762542).

The spelling of 20416142601140 in words is "twenty trillion, four hundred sixteen billion, one hundred forty-two million, six hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1430 1892 2236 2365 2795 2860 4730 5590 6149 9460 11180 12298 24596 30745 61490 122980 166011893 332023786 664047572 830059465 1660118930 1826130823 2158154609 3320237860 3652261646 4316309218 7138511399 7304523292 8632618436 9130654115 10790773045 14277022798 18261308230 21581546090 23739700699 28554045596 35692556995 36522616460 43163092180 47479401398 71385113990 78523625389 92800648187 94958802796 118698503495 142770227980 157047250778 185601296374 237397006990 314094501556 371202592748 392618126945 464003240935 474794013980 785236253890 928006481870 1020807130057 1570472507780 1856012963740 2041614260114 4083228520228 5104035650285 10208071300570 20416142601140