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144110124233344 = 2729131800937003
BaseRepresentation
bin100000110001000101000000…
…110000110111001010000000
3200220020210102100002221000101
4200301011000300313022000
5122342100013300431334
61230255135505332144
742232420135605043
oct4061050060671200
9626223370087011
10144110124233344
1141a10840206305
12141b5611037054
1362546ac682a89
142782d7810cc5a
15119d97d42e214
hex831140c37280

144110124233344 has 128 divisors (see below), whose sum is σ = 299306779992000. Its totient is φ = 69028847247360.

The previous prime is 144110124233311. The next prime is 144110124233371. The reversal of 144110124233344 is 443332421011441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1441101242333442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3894533947 + ... + 3894570949.

Almost surely, 2144110124233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144110124233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149653389996000).

144110124233344 is an abundant number, since it is smaller than the sum of its proper divisors (155196655758656).

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

144110124233344 is a wasteful number, since it uses less digits than its factorization.

144110124233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45186 (or 45174 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 144110124233344 its reverse (443332421011441), we get a palindrome (587442545244785).

The spelling of 144110124233344 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred twenty-four million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 131 232 262 464 524 928 1048 1856 2096 3712 3799 4192 7598 8009 8384 15196 16018 16768 30392 32036 37003 60784 64072 74006 121568 128144 148012 232261 243136 256288 296024 464522 486272 512576 592048 929044 1025152 1049179 1073087 1184096 1858088 2098358 2146174 2368192 3716176 4196716 4292348 4736384 4847393 7432352 8393432 8584696 9694786 14864704 16786864 17169392 19389572 29729408 30426191 33573728 34338784 38779144 60852382 67147456 68677568 77558288 121704764 134294912 137355136 140574397 155116576 243409528 281148794 296357027 310233152 486819056 562297588 592714054 620466304 973638112 1124595176 1185428108 1947276224 2249190352 2370856216 3894552448 4498380704 4741712432 8594353783 8996761408 9483424864 17188707566 17993522816 18966849728 34377415132 37933699456 38822770537 68754830264 77645541074 137509660528 155291082148 275019321056 310582164296 550038642112 621164328592 1100077284224 1125860345573 1242328657184 2251720691146 2484657314368 4503441382292 4969314628736 9006882764584 18013765529168 36027531058336 72055062116672 144110124233344