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14430157157143 = 72133121111932903
BaseRepresentation
bin1101000111111100100001…
…1001000011001100010111
31220002111202110111122012101
43101333020121003030113
53342410430213012033
650405042255502531
73016354514016400
oct321771031031427
956074673448171
1014430157157143
114663882581552
1217507b2527a47
138089b1390b70
1437c5cd8a89a7
151a056511597d
hexd1fc8643317

14430157157143 has 96 divisors (see below), whose sum is σ = 18771097669632. Its totient is φ = 10983601036800.

The previous prime is 14430157157083. The next prime is 14430157157173. The reversal of 14430157157143 is 34175175103441.

14430157157143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14430157157143 - 217 = 14430157026071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14430157157093 and 14430157157102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430157157173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4970772630 + ... + 4970775532.

It is an arithmetic number, because the mean of its divisors is an integer number (195532267392).

Almost surely, 214430157157143 is an apocalyptic number.

14430157157143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14430157157143 is a deficient number, since it is larger than the sum of its proper divisors (4340940512489).

14430157157143 is a wasteful number, since it uses less digits than its factorization.

14430157157143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 14430157157143 in words is "fourteen trillion, four hundred thirty billion, one hundred fifty-seven million, one hundred fifty-seven thousand, one hundred forty-three".

Divisors: 1 7 13 31 49 91 211 217 403 637 1193 1477 1519 2743 2821 2903 6541 8351 10339 15509 19201 19747 20321 36983 37739 45787 58457 85033 89993 108563 134407 142247 251723 258881 264173 320509 480779 595231 612533 629951 759941 1169909 1762061 1812167 1849211 3272399 3365453 3463279 4166617 4287731 4409657 7803413 7962929 8189363 12334427 18988523 22906793 23558171 24242953 30014117 45022627 54623891 55740503 57325541 101444369 107361649 132919661 160347551 169700671 246850799 315158389 382367237 390183521 710110583 730751869 751531543 930437627 1395701437 1727955593 2206108723 4970774081 5115263083 5260720801 9499774297 9769910059 12095689151 22653307939 35806841581 66498420079 68389370413 158573155573 294493003207 465488940553 1110012089011 2061451022449 14430157157143