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144706419 = 3411132312
BaseRepresentation
bin10001010000000…
…00101101110011
3101002021211220000
420220000231303
5244021101134
622205321043
73404661414
oct1050005563
9332254800
10144706419
1174757090
1240566183
1323c97600
141530b80b
15ca85e99
hex8a00b73

144706419 has 90 divisors (see below), whose sum is σ = 263855988. Its totient is φ = 78343200.

The previous prime is 144706417. The next prime is 144706427. The reversal of 144706419 is 914607441.

144706419 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 0 + 641 + 9 = 666.

It is not a de Polignac number, because 144706419 - 21 = 144706417 is a prime.

It is a super-2 number, since 2×1447064192 = 41879895399607122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144706417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4667934 + ... + 4667964.

Almost surely, 2144706419 is an apocalyptic number.

144706419 is a deficient number, since it is larger than the sum of its proper divisors (119149569).

144706419 is a wasteful number, since it uses less digits than its factorization.

144706419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 144706419 is about 12029.3981146190. The cubic root of 144706419 is about 525.0039836432.

The spelling of 144706419 in words is "one hundred forty-four million, seven hundred six thousand, four hundred nineteen".

Divisors: 1 3 9 11 13 27 31 33 39 81 93 99 117 143 169 279 297 341 351 403 429 507 837 891 961 1023 1053 1209 1287 1521 1859 2511 2883 3069 3627 3861 4433 4563 5239 5577 8649 9207 10571 10881 11583 12493 13299 13689 15717 16731 25947 27621 31713 32643 37479 39897 47151 50193 57629 77841 95139 112437 119691 137423 141453 150579 162409 172887 285417 337311 359073 412269 424359 487227 518661 856251 1011933 1236807 1461681 1555983 1786499 3710421 4385043 4667949 5359497 11131263 13155129 16078491 48235473 144706419