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10403413043424 = 253631201785147
BaseRepresentation
bin1001011101100011101110…
…1111010010100011100000
31100211120000202001012012220
42113120323233102203200
52330422142214342144
634043132330351040
72122423162546242
oct227307357224340
940746022035186
1010403413043424
1133510764a0465
121200301b8b480
135a606490858b
1427d7566d6092
1513093b2bd919
hex9763bbd28e0

10403413043424 has 96 divisors (see below), whose sum is σ = 27366120343296. Its totient is φ = 3460551413760.

The previous prime is 10403413043411. The next prime is 10403413043453. The reversal of 10403413043424 is 42434031430401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104034130434242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122139219 + ... + 122224365.

It is an arithmetic number, because the mean of its divisors is an integer number (285063753576).

Almost surely, 210403413043424 is an apocalyptic number.

It is an amenable number.

10403413043424 is an abundant number, since it is smaller than the sum of its proper divisors (16962707299872).

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

10403413043424 is a wasteful number, since it uses less digits than its factorization.

10403413043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87808 (or 87800 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10403413043424 its reverse (42434031430401), we get a palindrome (52837444473825).

The spelling of 10403413043424 in words is "ten trillion, four hundred three billion, four hundred thirteen million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 631 1262 1893 2017 2524 3786 4034 5048 6051 7572 8068 10096 12102 15144 16136 20192 24204 30288 32272 48408 60576 64544 85147 96816 170294 193632 255441 340588 510882 681176 1021764 1272727 1362352 2043528 2545454 2724704 3818181 4087056 5090908 7636362 8174112 10181816 15272724 20363632 30545448 40727264 53727757 61090896 107455514 122181792 161183271 171741499 214911028 322366542 343482998 429822056 515224497 644733084 686965996 859644112 1030448994 1289466168 1373931992 1719288224 2060897988 2578932336 2747863984 4121795976 5157864672 5495727968 8243591952 16487183904 108368885869 216737771738 325106657607 433475543476 650213315214 866951086952 1300426630428 1733902173904 2600853260856 3467804347808 5201706521712 10403413043424