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142788489024 = 26337179112289
BaseRepresentation
bin1000010011111011011…
…0110110111101000000
3111122120011201210120110
42010332312312331000
54314412323122044
6145332432511320
713213301062626
oct2047666667500
9448504653513
10142788489024
115561341a225
122380b6ab540
13106074bb9bc
146ca7ad7516
153aaa9356b9
hex213edb6f40

142788489024 has 112 divisors (see below), whose sum is σ = 390176308800. Its totient is φ = 46050656256.

The previous prime is 142788489023. The next prime is 142788489049. The reversal of 142788489024 is 420984887241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142788489023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215472 + ... + 1327760.

Almost surely, 2142788489024 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 142788489024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195088154400).

142788489024 is an abundant number, since it is smaller than the sum of its proper divisors (247387819776).

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

142788489024 is a wasteful number, since it uses less digits than its factorization.

142788489024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112520 (or 112510 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 142788489024 in words is "one hundred forty-two billion, seven hundred eighty-eight million, four hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 179 192 222 296 358 444 537 592 716 888 1074 1184 1432 1776 2148 2368 2864 3552 4296 5728 6623 7104 8592 11456 13246 17184 19869 26492 34368 39738 52984 79476 105968 112289 158952 211936 224578 317904 336867 423872 449156 635808 673734 898312 1271616 1347468 1796624 2694936 3593248 4154693 5389872 7186496 8309386 10779744 12464079 16618772 20099731 21559488 24928158 33237544 40199462 49856316 60299193 66475088 80398924 99712632 120598386 132950176 160797848 199425264 241196772 265900352 321595696 398850528 482393544 643191392 743690047 797701056 964787088 1286382784 1487380094 1929574176 2231070141 2974760188 3859148352 4462140282 5949520376 8924280564 11899040752 17848561128 23798081504 35697122256 47596163008 71394244512 142788489024