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354101145143120 = 245291104713816403
BaseRepresentation
bin101000010000011011001100…
…0111110001000011101010000
31201102202201221122020012012222
41100200312120332020131100
5332403043121124034440
63253035453111040212
7134404651322564444
oct12040663076103520
91642681848205188
10354101145143120
11a29114a8043251
123386b211070068
131227779675b41b
146362830530824
152ae0eb3eb52b5
hex1420d98f88750

354101145143120 has 80 divisors (see below), whose sum is σ = 851751463167360. Its totient is φ = 136743914936832.

The previous prime is 354101145143077. The next prime is 354101145143143. The reversal of 354101145143120 is 21341541101453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 18720839 + ... + 32537241.

It is an arithmetic number, because the mean of its divisors is an integer number (10646893289592).

Almost surely, 2354101145143120 is an apocalyptic number.

It is an amenable number.

354101145143120 is an abundant number, since it is smaller than the sum of its proper divisors (497650318024240).

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

354101145143120 is a wasteful number, since it uses less digits than its factorization.

354101145143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13827492 (or 13827486 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 354101145143120 its reverse (21341541101453), we get a palindrome (375442686244573).

The spelling of 354101145143120 in words is "three hundred fifty-four trillion, one hundred one billion, one hundred forty-five million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 11047 22094 44188 55235 88376 110470 176752 220940 320363 441880 640726 883760 1281452 1601815 2562904 3203630 5125808 6407260 12814520 13816403 25629040 27632806 55265612 69082015 110531224 138164030 221062448 276328060 400675687 552656120 801351374 1105312240 1602702748 2003378435 3205405496 4006756870 6410810992 8013513740 16027027480 32054054960 152629803941 305259607882 610519215764 763149019705 1221038431528 1526298039410 2442076863056 3052596078820 4426264314289 6105192157640 8852528628578 12210384315280 17705057257156 22131321571445 35410114514312 44262643142890 70820229028624 88525286285780 177050572571560 354101145143120