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142054402535552 = 2713314795749157
BaseRepresentation
bin100000010011001010011110…
…001100111011000010000000
3200121222021020120001112121102
4200103022132030323002000
5122104404404022114202
61222042520331113532
741631043343515403
oct4023123614730200
9617867216045542
10142054402535552
1141298a2a976211
1213b23117ba28a8
136135898b548c0
142711681085d3a
1511652635e8d02
hex81329e33b080

142054402535552 has 128 divisors (see below), whose sum is σ = 315256228761600. Its totient is φ = 63316144926720.

The previous prime is 142054402535471. The next prime is 142054402535593. The reversal of 142054402535552 is 255535204450241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142054402535497 and 142054402535506.

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, 21834158 + ... + 27583314.

It is an arithmetic number, because the mean of its divisors is an integer number (2462939287200).

Almost surely, 2142054402535552 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 142054402535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157628114380800).

142054402535552 is an abundant number, since it is smaller than the sum of its proper divisors (173201826226048).

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

142054402535552 is a wasteful number, since it uses less digits than its factorization.

142054402535552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749694 (or 5749682 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 47.

Adding to 142054402535552 its reverse (255535204450241), we get a palindrome (397589606985793).

The spelling of 142054402535552 in words is "one hundred forty-two trillion, fifty-four billion, four hundred two million, five hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 479 496 806 832 958 992 1612 1664 1916 1984 3224 3832 3968 6227 6448 7664 12454 12896 14849 15328 24908 25792 29698 30656 49816 51584 59396 61312 99632 118792 193037 199264 237584 386074 398528 475168 772148 797056 950336 1544296 1900672 3088592 5749157 6177184 11498314 12354368 22996628 24708736 45993256 74739041 91986512 149478082 178223867 183973024 298956164 356447734 367946048 597912328 712895468 735892096 1195824656 1425790936 2316910271 2391649312 2753846203 2851581872 4633820542 4783298624 5507692406 5703163744 9267641084 9566597248 11015384812 11406327488 18535282168 22030769624 22812654976 35800000639 37070564336 44061539248 71600001278 74141128672 85369232293 88123078496 143200002556 148282257344 170738464586 176246156992 286400005112 296564514688 341476929172 352492313984 572800010224 682953858344 1109800019809 1145600020448 1365907716688 2219600039618 2291200040896 2731815433376 4439200079236 4582400081792 5463630866752 8878400158472 10927261733504 17756800316944 35513600633888 71027201267776 142054402535552