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140000354120 = 235112101286393
BaseRepresentation
bin1000001001100010101…
…0111101111101001000
3111101100212100212111202
42002120222331331020
54243210042312440
6144152033243332
713054224242504
oct2023052757510
9441325325452
10140000354120
1154412606200
1223171a03548
1310281987233
146ac16c1304
153995c91615
hex2098abdf48

140000354120 has 96 divisors (see below), whose sum is σ = 349669890360. Its totient is φ = 50404992000.

The previous prime is 140000354119. The next prime is 140000354141. The reversal of 140000354120 is 21453000041.

It can be written as a sum of positive squares in 4 ways, for example, as 137565326404 + 2435027716 = 370898^2 + 49346^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 140000354092 and 140000354101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345644 + ... + 632036.

Almost surely, 2140000354120 is an apocalyptic number.

140000354120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140000354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174834945180).

140000354120 is an abundant number, since it is smaller than the sum of its proper divisors (209669536240).

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

140000354120 is a wasteful number, since it uses less digits than its factorization.

140000354120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286527 (or 286512 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 140000354120 its reverse (21453000041), we get a palindrome (161453354161).

The spelling of 140000354120 in words is "one hundred forty billion, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 44440 48884 61105 97768 122210 244420 286393 488840 572786 1145572 1431965 2291144 2863930 3150323 5727860 6300646 11455720 12601292 15751615 25202584 28925693 31503230 34653553 57851386 63006460 69307106 115702772 126012920 138614212 144628465 173267765 231405544 277228424 289256930 318182623 346535530 578513860 636365246 693071060 1157027720 1272730492 1386142120 1590913115 2545460984 3181826230 3500008853 6363652460 7000017706 12727304920 14000035412 17500044265 28000070824 35000088530 70000177060 140000354120