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142112220044130 = 23357339122173887
BaseRepresentation
bin100000010100000000010100…
…011001001101101101100010
3200122011210110221220021222000
4200110000110121031231202
5122111331311312403010
61222125241433024430
741635161202315350
oct4024002431155542
9618153427807860
10142112220044130
11413104aa3a2156
1213b32372b55116
13613b1813a083b
1427143a7b387d0
1511669e943c7c0
hex81401464db62

142112220044130 has 128 divisors (see below), whose sum is σ = 433231649832960. Its totient is φ = 32473212569280.

The previous prime is 142112220044107. The next prime is 142112220044153. The reversal of 142112220044130 is 31440022211241.

142112220044130 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 12 + 2 + 200 + 441 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142112220044107) and next prime (142112220044153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142112220044094 and 142112220044103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4677954 + ... + 17495933.

It is an arithmetic number, because the mean of its divisors is an integer number (3384622264320).

Almost surely, 2142112220044130 is an apocalyptic number.

142112220044130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142112220044130 is an abundant number, since it is smaller than the sum of its proper divisors (291119429788830).

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

142112220044130 is a wasteful number, since it uses less digits than its factorization.

142112220044130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22177301 (or 22177295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142112220044130 its reverse (31440022211241), we get a palindrome (173552242255371).

The spelling of 142112220044130 in words is "one hundred forty-two trillion, one hundred twelve billion, two hundred twenty million, forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 3391 6782 10173 16955 20346 23737 30519 33910 47474 50865 61038 71211 91557 101730 118685 142422 152595 183114 213633 237370 305190 356055 427266 457785 640899 712110 915570 1068165 1281798 2136330 3204495 6408990 22173887 44347774 66521661 110869435 133043322 155217209 199564983 221738870 310434418 332608305 399129966 465651627 598694949 665216610 776086045 931303254 997824915 1197389898 1396954881 1552172090 1995649830 2328258135 2793909762 2993474745 4190864643 4656516270 5986949490 6984774405 8381729286 13969548810 20954323215 41908646430 75191650817 150383301634 225574952451 375958254085 451149904902 526341555719 676724857353 751916508170 1052683111438 1127874762255 1353449714706 1579024667157 2030174572059 2255749524510 2631707778595 3158049334314 3383624286765 4060349144118 4737074001471 5263415557190 6767248573530 7895123335785 9474148002942 10150872860295 14211222004413 15790246671570 20301745720590 23685370007355 28422444008826 47370740014710 71056110022065 142112220044130