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10343142144016 = 24114758711171907
BaseRepresentation
bin1001011010000011001101…
…0100000011100000010000
31100121210110100201021100021
42112200303110003200100
52323430223342102031
633555323544033224
72115160463423323
oct226406324034020
940553410637307
1010343142144016
1133285581056a0
1211b06a1462814
135a047accc0a6
1427a879c867ba
1512e0aeda9511
hex96833503810

10343142144016 has 160 divisors (see below), whose sum is σ = 22396578527232. Its totient is φ = 4587039982080.

The previous prime is 10343142143959. The next prime is 10343142144047. The reversal of 10343142144016 is 61044124134301.

It is a super-2 number, since 2×103431421440162 (a number of 27 digits) contains 22 as substring.

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, 5423775735 + ... + 5423777641.

Almost surely, 210343142144016 is an apocalyptic number.

10343142144016 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 10343142144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198289263616).

10343142144016 is an abundant number, since it is smaller than the sum of its proper divisors (12053436383216).

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

10343142144016 is a wasteful number, since it uses less digits than its factorization.

10343142144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 10343142144016 its reverse (61044124134301), we get a palindrome (71387266278317).

The spelling of 10343142144016 in words is "ten trillion, three hundred forty-three billion, one hundred forty-two million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 587 752 1034 1117 1174 1907 2068 2234 2348 3814 4136 4468 4696 6457 7628 8272 8936 9392 12287 12914 15256 17872 20977 24574 25828 27589 30512 41954 49148 51656 52499 55178 83908 89629 98296 103312 104998 110356 167816 179258 196592 209996 220712 303479 335632 358516 419992 441424 577489 606958 655679 717032 839984 985919 1119409 1154978 1213916 1311358 1434064 1971838 2130119 2238818 2309956 2427832 2622716 3943676 4260238 4477636 4619912 4855664 5245432 7212469 7887352 8520476 8955272 9239824 10490864 12313499 14424938 15774704 17040952 17910544 23431309 24626998 28849876 30816913 34081904 46862618 49253996 52612223 57699752 61633826 93725236 98507992 100115593 105224446 115399504 123267652 187450472 197015984 200231186 210448892 246535304 338986043 374900944 400462372 420897784 493070608 578734453 677972086 800924744 841795568 1101271523 1157468906 1250379853 1355944172 1601849488 2202543046 2314937812 2500759706 2711888344 4405086092 4629875624 5001519412 5423776688 8810172184 9259751248 10003038824 13754178383 17620344368 20006077648 27508356766 55016713532 58767853091 110033427064 117535706182 220066854128 235071412364 470142824728 646446384001 940285649456 1292892768002 2585785536004 5171571072008 10343142144016